Use the Laws of logarithms to rewrite the expression log(x^7y^8/z^20) in a form with no logarithm of a product, quotient or power.

Question

After rewriting we have Alog(x) + Blog(y)+ Clog(z) with A=_?_ b=__?__ and C=__?__

Answer 1

log(x⁷y⁸ / z²⁰) = log(x⁷) + log(y⁸) - log(z²⁰) = 7logx + 8logy - 20logz