Q9 of 124 Page 29

Prove the following equations.

log1012500 = 2 + 3log105

log1012500 = 2 + 3log105 = 2log1010 + 3log105


Let us consider the RHS:


i.e. 2 + 3log105 = 2log1010 + 3log105


= log10102 + log1053


(∵ logaMn = nlogaM)


= log10(102×53)


(∵ loga(M×N) = (logaM) + (logaN))


= log10(100×125)


= log10(12500)


Hence LHS = RHS


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