Question

Let f(x) = 1/2(4)^x
Find x when f(x)=32
It says the answer is 3???

Answer 1

\[f(x)=\frac{1}{2}4^x\]
Is this the problem?

Answer 2

Yes, and then it asks to solve when f(x)=32

Answer 3

\[32=\frac{1}{2}4^x\]
multiply both sides by 2

Answer 4

\[64=4^x\]
yes 4 to the third power is 64

Answer 5

Have you been taught about common logs or natural logs?

Answer 6

Ah....I was dividing both side by 1/2 rather than multiplying :(

Answer 7

Yes...when I logged it out I would comeup with two. Its because I was ending up with 16 rather then 64

Answer 8

Yes, you can divide both sides by (1/2) but it would be easier to multiply by its reciprocal