What is log base 5 of 125?

To find log base 5 of 125, we are looking for the exponent to which 5 must be raised to get 125. In mathematical terms, this is expressed as:

log₅(125) = x where 5^x = 125

Now, we can simplify 125. We know that:

125 = 5³

This means we can rewrite our equation as:

5^x = 5³

Since the bases are the same, we can equate the exponents:

x = 3

Therefore, we conclude that:

log₅(125) = 3