# How do you condense log_5 (6) - log_5 (m)?

##### 1 Answer
Mar 22, 2016

They have the same base, so we can use the subtraction rule for logs. Since logs are exponents, and when we divide with exponents having the same base, the difference of two logs with the same base is the quotient of the logs

So
${\log}_{5} 6 - {\log}_{5} m = {\log}_{5} \left(\frac{6}{m}\right)$