Question

What is the solution of 16^(x-2) = 2^2x?

A. 4
B. 2
C. 3/4
D. -2

Answer 1

What power of 2 is 16?

Answer 2

4, I think?

Answer 3

Right.

\[(2^{4})^{(x-2)}=2^{2x}\]

Now you're down to rules of exponents. What is the simplification of the left side?

Answer 4

That's what I don't know. /:

Answer 5

OK.

\[(a ^{c})^{d}= a ^{c \times d}\]

Use that rule on the left side.