Question

4^2x = 32

Answer 1

Hint: 32 = 2^5; 4 = 2^2

Answer 2

get a common base:
4^2x=32
2^2(2x)=2^(5)

Answer 3

Rule: If a^x = a^y, then x = y. When two powers are equal and have the same base, the exponents must be equal.

Answer 4

so get rid of the two's, like mathstudent showed and that leaves:
2(2x)=5

Answer 5

solve for x