Q9 of 124 Page 29

Prove the following equations.

log50.00125 = 3 - 5log510

log50.00125 = 3 - 5log510


Let us consider the RHS:


i.e. 3 - 5log510 = 3log55 - 5log510(∵ logaa = 1)


= log553 - log5105


(∵ logaMn = nlogaM)


=


(∵ loga(M ÷ N) = (logaM) - (logaN))


= log50.00125


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