Question

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

Answer 1

Hi there!

We are given:

$4^{\frac{1}{2}x} = 256$

We can rearrange this into a logarithm:

$log_4256 = \frac{1}{2}x$

Evaluate the left side:

4 = 1/2x

Multiply both sides by 2:

x = 8