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

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

If log₁₀ 8 = 0.90; find the value of : log 0.125

Prove that : If a log b + b log a - 1 = 0, then b^a. a^b = 10

If 2 log y - log x - 3 = 0, express x in terms of y.

Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.

Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

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

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60