Simplify: Log B ÷ Log B2 - Mathematics

Simplify: log b ÷ log b²

Sum

log b ÷ log b²
= log b ÷ 2log b
= `("log" "b")/(2"log" "b")`

= `(1)/(2)`.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 31.2

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 2.25

Given: log₃ m = x and log₃ n = y.
If 2 log₃ A = 5x - 3y; find A in terms of m and n.

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

Express the following in terms of log 2 and log 3: log12⁸

Express the following in terms of log 5 and/or log 2: log160

Express the following in terms of log 5 and/or log 2: log500

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n = `sqrt(("M"."g")/("m".l)`

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Find the value of:

`("log"sqrt(8))/(8)`