Use the laws of logarithms to condense the following expressions.
log base 5 of 6 - log base 5 of x
that would be log(6/x)
To condense the given expression using the laws of logarithms, we will combine the two logarithms into a single logarithm.
The laws of logarithms state:
1. The difference between the logarithms of two numbers is equal to the logarithm of their quotient: log(base b) of (a / c) = log(base b) of a - log(base b) of c.
Applying this law, we can rewrite the given expression as:
log(base 5) of (6 / x)
Therefore, the condensed expression for the given expression is log(base 5) of (6 / x).