find the value of x in the exponent below.

Question

4(2^x)=8^x

Answer 1

since 8 = 2^3, you have

2^2 * 2^x = 2^(3x)
2^(2+x) = 2^(3x)
2+x = 3x
x = 1

check:

4(2^1) = 8^1
4*2 = 8
yep

Answer 2

thanks very much