Simplify: Log A2 + Log A-1

Simplify: log a² + log a^-1

बेरीज

log a² + log a^-1
= 2log a + (-1) log a
= 2log a - log a
= log a (2 - 1)
= log a.

shaalaa.com

Expansion of Expressions with the Help of Laws of Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 31.1

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 : (log a)² - (log b)² = log `(( a )/( b ))` . Log (ab)

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

If log₅ x = y, find 5^{2y+ 3} in terms of x.

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

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Express the following as a single logarithm:

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

Express the following as a single logarithm:

`3"log"(5)/(8) + 2"log"(8)/(15) - (1)/(2)"log"(25)/(81) + 3`

Simplify the following:

`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`