Question

Solve the exponential equation. (½)x = 32

Answer 1

x = - 5

Explanation:

Using the rule of exponents

•
`a^(-m)` ⇔
`(1)/(a^(m) )`

Given

`(1/2)^(x)` = 32

`(1)/(2^(x) )` = 32

`2^(-x)` =
`2^(5)`

Since the bases are equal, both 5, equate the exponents

Hence x = - 5