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

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 log 27 = 1.431, find the value of : log 300

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

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" root(4)(648)`

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

Express the following as a single logarithm:

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

Express the following as a single logarithm:

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

If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.

If 2 log x + 1 = 40, find: log 5x

Find the value of:

`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`