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

2 Answers
Sep 24, 2016

#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#

Sep 24, 2016

#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#