Question

How do i solve 4^x=32?​

Answer 1

x = 2.5

Explanation:

Using the rule of exponents

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

Note that 4 = 2² and 32 =
`2^(5)`, then

`(2^2)^(x)` =
`2^(5)`, that is

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

Since the bases on both sides are equal, equate the exponents

2x = 5 ( divide both sides by 2 )

x = 2.5

Answer 2

x = 2.5

Explanation:

4^2.5 = 32