Question

Find the value of the following using laws of exponents
(2 ^2)x = 64

Answer 1

x = 3

Explanation:

using the rule of exponents

`(a^m)^(n)` =
`a^(mn)`

`(2^2)^(x)` = 64

`2^(2x)` =
`2^(6)`

since the bases on both sides are equal , then equate the exponents

2x = 6 ( divide both sides by 2 )

x = 3