Question

12(3)^3x+(-6) rewritten as 12(k)^x-2. What is the value of k?

Answer 1

@Hero

Answer 2

Is it 9

Answer 3

Actually, I take that back.

Answer 4

What

Answer 5

Think more carefully about the expression you calculated to get the value of k.

Answer 6

21

Answer 7

Wait 9 is right

Answer 8

Explain how 9 is correct.

Answer 9

So it is correct

Answer 10

You have not yet explained how it is correct.

Answer 11

SO IT IS CORRECT

Answer 12

It is not

Answer 13

So it is 21

Answer 14

How did you get 21? Mind explaining?

Answer 15

Okay I'm just guessing -_-

Answer 16

What was the expression you got for k?

Answer 17

I got nothing, I'm just guessing

Answer 18

Walk me through again (:

Answer 19

Did you follow the process I showed you in the previous problem?

Answer 20

Nope

Answer 21

Well that explains it.

Answer 22

:)

Answer 23

>:(

Answer 24

\(3^3 \ne 9\)

Answer 25

12(3)^3x+(-6) = 12(k)^x-2.

We can simplify by dividing both sides by 12.
3^(3x-6) = k^(x-2)

we can factor (3x-6) into 3(x-2)
So basically
3^(3(x-2)) = k^(x-2)
Since 3^3 is 27
then 27^(x-2) = k^(x-2)

You following me so far?

Answer 26

Lmao, thanks hero. :)

Answer 27

I was right the second time, it is 27

Answer 28

Actually you never said that, also it is more important knowing the process than finding the answer. Cuz if you know the process than you can always solve these types of problems

Answer 29

Oh I put 27

Answer 30

There is no 27 in the choices lol I'm so beat

Answer 31

Well lets talk about process, We want to simplify when we can, which is why we divided both sides by 12.

Answer 32

Now since the power on the left side is 3x-6 and the right side is x-2, we should write the left hand side so that it is also x-2, which is why we factored 3 out.
Now we have 3^(3(x-2) = k^(x-2)
We can rewrite this to 27^(x-2) = k^(x-2)
Since they are both to the power of (x-2) then k just has to equal 27.

Answer 33

Okay I understand

Answer 34

Thank you for the explanation

Answer 35

np