Question

find the value of x​

Answer 1

Answer:

(1/2)^ x/2=1/4

now we can write 1/4 as (1/2)^2

so:-

(1/2)^x/2=(1/2)^2

cancel 1/2 from both sides

now:-

x/2=2

x=4

Answer 2

SOLUTION

$( \frac{1}{2} ) {}^{ \frac{x}{2} } = \frac{1}{4} \\ \\ = > ( \frac{1}{2} ) {}^{ \frac{x}{2} } = ( \frac{1}{2} ) {}^{2} \\ \\ = > \frac{x}{2} = 2 \\ \\ = > x = 2 \times 2 = 4\\ \\ = > x = 4$

Hope it helps ☺️