Question

How to solve this question 4^N = 64

Answer 1

`4^(3)`=64

Explanation:

we know that

4×4×4=64

and we can write it as

`4^(3)`=64

comparing it with

`4^(n)`=64

`4^(n)`=
`4^(3)`

according to exponent rule when basis are equal the powers should be equal as well

`4^(n)`=
`4^(3)`

in this case basis are equal i.e 4

so powers should also be equal

and hence we get

n=3

hence answer is

`4^(3)`=64