Simplify : Log (A)3 - Log a

Simplify : log (a)³ - log a

योग

log (a)³ - log a
= 3 log a - log a
= 2 log a

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Expansion of Expressions with the Help of Laws of Logarithm

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अध्याय 8: Logarithms - Exercise 8 (C) [पृष्ठ १०८]

अध्याय 8 Logarithms
Exercise 8 (C) | Q 6.1 | पृष्ठ १०८

If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12

If log 27 = 1.431, find the value of : log 9

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 2 and log 3: log12⁸

Express the following in terms of log 5 and/or log 2: log125

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

If x² + y² = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)

Simplify: log b ÷ log b²

Find the value of:

`("log"sqrt(8))/(8)`