Simplify: Log B ÷ Log B2

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

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

Express the following in terms of log 2 and log 3: log 54

Express the following in terms of log 5 and/or log 2: log20

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

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: `"log"2(1)/(4)`

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 log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

Find the value of:

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