Logarithm quotient log base log base log base

To express the given expression in terms of sums and differences of logarithms, we can apply the logarithmic properties. The properties we'll be using are:

1. Logarithm of a quotient: log base b of (a / c) = log base b of a - log base b of c.

= log base b of m^8 + log base b of p^5 - log base b of n^7 - log base b of b^3

= 8 * log base b of m + 5 * log base b of p - 7 * log base b of n - 3 * log base b of b