Simplify : Log (A)3 ÷ Log a

Simplify : log (a)³÷ log a

Sum

log (a)³÷ log a
= 3 log a ÷ log a
= `(3 log a)/(log a)`
= 3

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (C) [Page 108]

Chapter 8 Logarithms
Exercise 8 (C) | Q 6.2 | Page 108

If log₁₀ 8 = 0.90; find the value of : log√32

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: log80

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Simplify the following:

`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25

If 2 log x + 1 = 40, find: x

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5