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^{(1)/(2)x} = 256`

We can rearrange this into a logarithm:

`log_4256 = (1)/(2)x`

Evaluate the left side:

4 = 1/2x

Multiply both sides by 2:

x = 8