Question

Find k
(1/2)^k=4
How would you solve this step by step?

Answer 1

Have you learned about logarithms yet?

Answer 2

Well I was introduced to them last class. She told us that in order to solve for the exponents we must first have the same base

Answer 3

So your first step would be to break down 4. You can say that 4 is equal to 2^2
Next, you need to work on (1/2)^K. You can flip the nominator and denominator so you'll have 2^(-k) [This is part of the laws of exponents]

So far you'll have 2^(-k)= 2^2
Next, you'll see that your bases (in this case is 2) are equal to each other. So you'll now simply disregard your bases and solve the equation. So, you'll have:

-K=2 .... you need to get rid of the (-) and to do that you'll multiply both sides by a (-) because negative times a negative is a positive. So you'll have your final answer to be K=-2

Hope that helps.

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Answer 4

Thank you!!:) I understand it now!! I will definitely subscribe!:)

Answer 5

You're welcome!