Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2

Hi there!
We are given:
[tex]4^{\frac{1}{2}x} = 256[/tex]
We can rearrange this into a logarithm:
[tex]log_4256 = \frac{1}{2}x[/tex]
Evaluate the left side:
4 = 1/2x
Multiply both sides by 2:
x = 8