Question

Show that log50/147 = log2+2log5-log3-2log7

Answer 1

LHS
= log 50/147
= log 50 - log 147
= log 2*5*5 - log 3*7*7
= log 2*52 - log 3*72
= log 2 + log 52 - log 3 - log 72
= log 2 + 2 log 5 - log 3 - 2 log 7
= RHS (proved)