Please help I'm really bad at logorithms.

Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10?

Answers

Answer 1
Sorry to hear that you already took the test. Here is how to do the problem:

2ˣ = 128               
Let's take log base 10 of both sides.
For simplicity, we'll just use the symbol log to mean log₁₀

log (2ˣ) = log (128)                   Remember that log(yˣ) = x log(y)
x log (2) = log (128)                 Divide both sides by log(2) to get x by itself
x = log (128) ÷ log (2)

Related Questions

What is the rate of change?

Answers

Well rate of change is slope. Which is change in y over change in x so find two coordinates so let's say (0,20) and (10,60). The change in y is 40 and the change in x is 10 so the rate of change or slope is 40/10 or Slope= 4

Answer: 4

Gradient = rise/run

= 4/1

So, rate of change is 4

Hope this helps!

There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?

Answer Choices:
A:1
B:10^10
C:10^16
D:10^17

Answers

i would go with c 10^16

a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters. what is the density of the gold?

Answers

Density = mass / volume
Density = 4,830 / 0.25
Density = 19,320 kg/m

If the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

What is density?

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter. While volume is a three-dimensional space enclosed by an object or thing.

It is given that, a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters.

We have to find the density of the gold.

Density = mass/volume

Density = 4,830 / 0.25

Density = 19,320 kg/m

Thus, if the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

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simplify √50 can someone help me ??

Answers

Hello there!

We need to simplify this by breaking the radicand up into a product known factors.

So, the simplify form for √50 is 5√2

Or if you want the decimal, it will be 7.07


I hope this helps!

estimate the quotient for 49 / 311

Answers

To get a close estimate, we can round 49 up to 50 and 311 down to 300, obtaining an estimate of 50/300 = 1/6, or 0.1666... as a repeating decimal. That decimal approximation is a little less than one hundredth away from the actual decimal approximation of ≈ 0.1576
If you’re estimating, you’d usually round the numbers and proceed.
49 would round up to 50.
311 would round down to 300.
300 / 50 = 6.
(Unless you were doing 50 / 300, which would be -0.166666...)

Hope that helped! :)

how many 1/4 cups are there in 3/4 cup?

Answers

there are 3 1/4 cups in 3/4 cups

There are 3 cups of 1/4 cups in 3/4 cups.

What is ratio and proportion?

explanation;

3/4 is equal to 3 times 1/4. 3 times

⇒ 1/4 implies 3×1/4 = 3/4.

A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.

The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among  or more matters.

A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.

The ratio is the relationship or evaluation among two quantities of the identical unit to check how bigger is one variety than the alternative one. it is written as a/b or a: b in which b isn't always identical to zero. A share is an equality of  ratios. Proportions are used to write down equal ratios which helps to resolve the unknown quantities. The numbers in a ratio can be quantities of any type, along with counts of people or objects, or along with measurements of lengths, weights, time, and so on. In maximum contexts, both numbers are confined to be fine.

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What is log "small two" (x+2)+log "small two again" (27)

Answers

The "small two" you said means "log base two", for future reference. And what exactly is the question?

Which is the largest ratio?

5/36, 2:9, 3 to 18, 1:3
5/36
2:9
3 to 18
1:3

Answers

1:3 is the largest ratio.

You find the ratio by dividing two numbers.

Answer:  The largest ratio is (d) 1 : 3.

Step-by-step explanation:  We are given to select the larges ratio among the given options.

The first ratio is

[tex]\dfrac{5}{36}.[/tex]

The second ratio is

[tex]2:9=\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}.[/tex]

The third ratio is

[tex]3\textup{ to }18=\dfrac{3}{18}=\dfrac{3\times 2}{18\times 2}=\dfrac{6}{36}.[/tex]

The fourth ratio is

[tex]1:3=\dfrac{1}{3}=\dfrac{1\times 12}{3\times 12}=\dfrac{12}{36}.[/tex]

Arranging all the ratios in ascending order, we have

[tex]\dfrac{5}{36},~\dfrac{6}{36},~\dfrac{8}{36},~\dfrac{12}{36}\\\\\\\Rightarrow \dfrac{5}{36},~\dfrac{3}{18},~\dfrac{2}{9},~\dfrac{1}{3}.[/tex]

Thus, the largest ratio is (d) 1 : 3.

Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 20% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?

Answers

20% of 55 = 11
20% of 11 = 2.2

Approximately, since you can't have 20% of a candy damaged (I mean, technically you can, but not in this question, I don't think), your answer is 2.

HELP PLEASE ILL GIVE BRAINLIEST

Answers

8 [tex] \frac{19}{24} [/tex] || Hope this is what your looking for ^.^

A store is having a sale where movies are 15% off their original price. A movie originally cost $25. how much money will be saved by purchasing the movie on sale?

Answers

Since you are asked how much mopney sill be saved, you just need to find out the amount of the discount.

15% of $25 =

= 15% * $25

= 0.15 * $25

= $3.75

The amount saved is $3.75.

First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz

Answers

The surface area of the cube is approximately 396, and the next whole number after that is 397.

17/7 as a repeating decimal is approximately 2.428571.


To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.

In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.

To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.

To square the fraction, you need to square the numerator and the denominator separately.

(65/8)^2 = (65^2)/(8^2) = 4225/64

Now, multiply this result by 6:

(4225/64) * 6 = 25350/64

To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.

25350/64 ≈ 396.09375

Rounding this to the nearest whole number, you get 396.

The next whole number after 396 is 397.

Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.

Now, let's move on to the next question:

To write the fraction 17/7 as a repeating decimal, you need to perform long division.

Divide 17 by 7:

2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10

The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.

What is the common ratio for the geometric sequence?

24,−6,32,−38,...



Enter your answer in the box.

Answers

Note this pattern:  Mult. 24 by (-1/4) produces -6.
                              Mult -6 by (-1/4) produces 6/4 = 3/2
                             Mult. 3/2 by (-1/4) produces 3/8

Looks as though you copied the problem down incorrectly.  You wrote 32 for 3/2 and -38 for -3/8.

The common ratio is -1/4.

The common ratio, r of the geometric sequence

24,−6,32,−38,... is -1/4

How to find common ratio of a geometric sequenceFirst term, a = 24

Second term, = -6

nth term of a geometric sequence = ar^(n-1)

n = number of terms

Common ratio, r = second term ÷ first term

= -6/24

= -1/4

r = -38/32

= -18/16

= -9/8

It seems the third and fourth term, 32 and -38 do not correspond with the given ratio.

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What is another to refer to coincident lines?

Answers

The answer is:  "infinite line(s)" .
____________________________________

Natalie runs at a rate of 5/8 miles in 1/6 of an hour at this rate how long will it take her to run 2 1/2 miles

Answers

This problem is easily solved using an equation of ratios, as follows:

(5/8) mile         2 1/2 mi
--------------  =  ----------=--
(1/6) hour             x

Cross multiplying, (5/8)x = (1/6)(5/2)

Thus, (5/8)x = 5/12

x = (5/12)  /  (5/8)  = 8/12 hour, or 2/3 hour, or 40 minutes.


Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)

Answers

-19.59 is your answer because u do PEMDAS and that would be 8.1*(-1.9) which gives you -15.39 Then you do -4.2+-15.39 and you would get -19.59

What is 2/7 as a percent

Answers

The answer is 28.5714%

Work
2÷7 = 0.285714 =0.285714×100 = 28.5714%
270% move decimal two places to the right. hope that helps and god bless you 

When y = 0, the equation becomes 0 = 230 – 45x. Solve this equation for x. What does the solution represent?

Answers

the answer to the quation is x=46/9
    
0 = 230 - 45x
45x = 230
x = 230/45
x = 46/9

what does this solution represent ?
well.....(46/9,0) is ur x intercept......so this equation has one solution

You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie

Answers

You ate more pie, if you multiply the fraction by two to make it to where it has the same denominator then it would be 3/8 against 2/8. 3/8 is greater than 2/8
This can be done by changing the fraction to a decimal. 
So, 3/8 will equal out to 0.375. 1/4 is 0.25. 0.375 is greater than 0.25.

I/You ate more of a pie than my/your sister. 

what percent of 92 is 23

Answers

We can let the percentage be p%
list an equation out from the given information.
92 x p% = 23
Flip 92 into the other side, turning it into ÷92
P% = 23 / 92
= 0.25
0.25 can be transformed into percentage, by moving the decimal place 2 places to right. Therfore, 0.25 is equal to 25.0%, which is 25%
Therfore, 25% of 92 is 23

How can I write number 8 in the tens place

Answers

The answer to your question is 0.8
YOU CANT! 8 is a one digit number, and a tens place is higher.

Which of the following is a way to describe the number 358 ?

Answers

3 hundreds 5 tens 8 ones 

hope this was helpful :-)

the sum of 15 and x is greater than or equal to 12 minus y

Answers

15 and x is greater than 12-y
greater than36 is _________ than 28less than7 is _________ than 15232 tens and 3 ones is _____equal to3 tens and 2 ones is ________ than 3213Which is less, 31 or 1321Which is greater, 12 or 213How many tens are in 30TrueIs this true or false? 23 > 12FalseIs this true or false? 13 > 15?4How much more is 14 than 1015What is 10 + 518What is three more than fifteen6what is 10 minus 4634Which is greater, 620 or 624620Which is the least, 620 or 624Expanded Form700 + 50 + 9Word FormThirty fiveStandard formThe traditional way numbers are shown71Which is greater, 17 or 71867Which is greater 867 or 768768Which is greater, 768 or 569569Which is greater, 569 or 488333Which is the least, 488 or 333
But also your answer would be 12 minus y because the y axis is greater than th 15 on the x axis so I hope that I really helped you okay

The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Answer quick

Answers

Hello!

4 1/2/2 = 2.25 (2 1/4)

4 1/2 • 2 1/4 = 10.125 or 10 1/8

So, the area of the rectangle is 10 1/8 ft sq.

I really hope you found this helpful!

Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?

Answers

Answer:

Sam will catch up his brother in 2.5 minutes

Step-by-step explanation:

Two equations can be written to represent the problem.

Sam: y1 = 105*t

Leo: y2 = 100 + 65*t

where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.

When Sam catch up Leo, the distance travelled by both equals:

y1 = y2

105*t = 100 + 65*t

105*t - 65*t = 100

40*t = 100

t = 100/40

t = 2.5 minutes

Function f is an exponential function.



x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?

Answers

Answer:

The output value increased by factor 2.

Step-by-step explanation:

The general form of the exponential function is

[tex]f(x)=ab^x[/tex]

Where, a is initial value and b is growth factor.

From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.

[tex]a=3[/tex]

The another value of f(x) is 12 at x=2.

[tex]f(3)=ab^2[/tex]

[tex]12=(3)b^2[/tex]

[tex]4=b^2[/tex]

[tex]b=2[/tex]

The required function is

[tex]f(x)=3(2)^x[/tex]

Since the growth factor is 2, therefore the output value increased by factor 2.

30 POINTS Ivan is saving money to buy a computer with. He started wih $225 in his savings account and the first week he added $75, the second week he added $200, the third week he unfortunately had to take out $50 and the fourth week he added $125. How much more money does he need to save if the computer cost $895?

Show your work.

A) $220
B) $320
C) $420
D) $575

Answers

started with 225 added 75

225 +75 = 300 then added 200

300 +200 = 500, took 50 out

500-50 = 450 then added 125

450 +125 = 575


895-575 = 320

 Answer is B $320

Answer:

Answer is B $320

Step-by-step explanation:


Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!

Answers

Hope this helps and hope its not too late

Answer:

Sorry I don't really know how to explain it but he would have $21 left

Step-by-step explanation:

Solve for n.

11(n – 1) + 35 = 3n

n = –6

n = –3

n = 3

n = 6

Answers

The answer is n=-3.

negative three
ANSWER

[tex]n = - 3[/tex]


EXPLANATION

We have the equation,

[tex]11(n - 1) + 35 = 3n[/tex]


We expand the brackets to obtain,



[tex]11n - 11+ 35 = 3n[/tex]



We simplify the constant terms to obtain,


[tex]11n + 24 = 3n[/tex]



We now group the constant terms on one side of the equation and the variable terms on the other side.



[tex]11n - 3n = - 24[/tex]


We simplify to obtain,

[tex]8n = - 24[/tex]


We divide both sides of the equation to get,


[tex]n = -3[/tex]

Hence the correct answer is B.

Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tickets are sold. How many total tickets were sold if 92 adult tickets were sold?

Answers

92/2 then 7x2 and then you add 322 like Abbytorres56 said its another half of 92.

The total number of tickets sold wer2 414 tickets.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, for every two adult tickets, seven student tickets are sold.

So, the ratio is 2:7

Here, 2+7 =9

The number of adult tickets sold were 92.

Let the total number of tickets be x.

Now, number of student tickets

2/9 ×x=92

2x=92×9

2x=828

x=414

Therefore, the total number of tickets sold wer2 414 tickets.

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