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Question
Prove that log 10 125 = 3 (1 - log 10 2)
Solution
L.H.S.
= log 10 125
= `"log"_10 (1000/8)`
= log 10 1000 - log 10 8
= log 10 (10)3 - log10(2)3
= 3log 10 10 - 3log 10 2
= 3 x 1 - 3log10 2
= 3(1 - log 10 2)
= R.H.S.
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