If Log X = a + B and Log Y = A-b, Express the Value of Log X 2 10 Y in Terms of a and B. - Mathematics

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

`"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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Chapter 10: Logarithms - Exercise 10.2

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Exercise 10.2 | Q 14

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