H(x) = ((1)/(2))^x Find the value of x when h(x) = 8.

Question

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

Find the value of
`x` when h(
`x`) = 8.

Answer 1

x = - 3

Explanation:

Solving

`((1)/(2)) ^(x)` = 8

`(2^-1)^(x)` = 2³

`2^(-x)` = 2³

Since the bases on both sides are equal equate the exponents

- x = 3 ( multiply both sides by - 1 )

x = - 3