Respuesta :

leena

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