# What is the quotient rule of logarithms?

##### 1 Answer

Sep 10, 2014

The answer is

An example of how to use this: simplify using quotient property:

#=log (2^5)-log(2^2)#

#=5log2 - 2log2#

#=3log2#

Or you could have a problem in reverse: express as a single log:

#=log (4^2)-log(3^5)#

#=log(16)-log(125)#

#=log ((16)/(125))#