Question

How do you write `log_4x=3` in exponential form?

Answer 1

`log_4 x=3` can be written in exponential form as `x=4^3`

Explanation:

`log_a b=m` can be written in exponential form as `a^m=b`

Hence `log_4 x=3` can be written in exponential form as `x=4^3`

Answer 2

`log_a b = c" "hArr" " a^c = b`

Explanation:

Log form and exponential form are two different ways of saying the same thing.

They are inter-changeable.... neither form is better than the other, but one might be more useful than the other in a particular question.

`log_a b = c" "hArr" " a^c = b`

An easy way to convert between the form is to remember:

"The base stays the base and the other two change around"

Here are two examples:

`log_10 100 = 2 " "hArr " "10^2 = 100`

`log_3 81 = 4 " "hArr " " 3^4 = 81`

In this question:

`log_4 x = 3 " "hArr " " 4^3 = x`

`x = 64`