Simplify : Log (A)3 - Log a - Mathematics

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

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: log160

Express the following as a single logarithm:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18

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

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

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`