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

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Answer 1 · 2016-09-24T12:32:06

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

$log_a b=m$ 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 · 2016-09-24T16:35:17

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

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:

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

$x = 64$

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