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.

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

If log₁₀ a = b, find 10^{3b - 2} in terms of a.

Express the following in terms of log 2 and log 3: log 144

Express the following in terms of log 5 and/or log 2: log20

Write the logarithmic equation for:

n = `sqrt(("M"."g")/("m".l)`

Express the following as a single logarithm:

`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`

Express the following as a single logarithm:

`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`