Q9 of 124 Page 29

Prove the following equations.

log102500 = 4 - 2log102

log102500 = 4 - 2log102


Let us consider the RHS:


i.e. 4 - 2log102 = 4log1010 - 2log102


= log10104 - log1022


(∵ logaMn = nlogaM)


=


(∵ loga(M ÷ N) = (logaM) - (logaN))


Hence LHS = RHS


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