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

Simplify : log (a)³÷ log a

बेरीज

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

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 8: Logarithms - Exercise 8 (C) [पृष्ठ १०८]

पाठ 8 Logarithms
Exercise 8 (C) | Q 6.2 | पृष्ठ १०८

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

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

Given: log₃ m = x and log₃ n = y.
Express 3^{2x - 3} in terms of m.

Express the following in terms of log 2 and log 3: log 216

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

Simplify the following:

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

Simplify the following:

`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

If log 4 = 0.6020, find the value of each of the following: log8

Find the value of:

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