If Log a = P and Log B = Q, Express a 3 B 2 in Terms of P and Q.

If log a = p and log b = q, express `"a"^3/"b"^2` in terms of p and q.

Sum

`"log" "a"^3/"b"^2`
= loga³ - logb²
= 3loga - 2logb
= 3p - 2q.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 13

If log (a + b) = log a + log b, find a in terms of b.

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log 144 - log 72 + log 150 - log 50

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If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540