Simplify : Log (A)3 - Log a

Simplify : log (a)³ - log a

बेरीज

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

पाठ 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 (a + 1) = log (4a - 3) - log 3; find a.

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 5 and/or log 2: log250

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

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: log45

If log 27 = 1.431, find the value of the following: log300

If x² + y² = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)