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Question
If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.
Sum
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Solution
`"log" x^2/(10y)`
= logx2 - log10y
= 2logx - (log10 + logy)
= 2logx - logy - 1
= 2(A + B) - (A - B) -1
= A + 3B - 1.
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Expansion of Expressions with the Help of Laws of Logarithm
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