Simplify: Log B ÷ Log B2

Simplify: log b ÷ log b²

बेरीज

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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पाठ 7: Logarithms - Exercise 10.2

पाठ 7 Logarithms
Exercise 10.2 | Q 31.2

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

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

Simplify : log (a)³ - log a

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 18 + log 25 - log 30

Express the following as a single logarithm:

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

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀3

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`