Simplify : Log (A)3 - Log a

Simplify : log (a)³ - log a

Sum

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

Chapter 8 Logarithms
Exercise 8 (C) | Q 6.1 | Page 108

If x = (100)^a , y = (10000)^b and z = (10)^c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.

Given 3log x + `1/2`log y = 2, express y in term of x.

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

Express the following in terms of log 2 and log 3: log 54

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: log125

Express the following as a single logarithm:

`2 + 1/2 "log" 9 - 2 "log" 5`

Express the following as a single logarithm:

`"log"(81)/(8) - 2"log"(3)/(5) + 3"log"(2)/(5) + "log"(25)/(9)`

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀3

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