Write the Logarithmic Equation For: F = "G"("M"_1"M"_2)/"D"^2

Write the logarithmic equation for:

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

Sum

F = `"G"("m"_1"m"_2)/"d"^2`
Considering log on both the sides, we get

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

= log (Gm₁m₂) - log d²
= logG + logm₁ + logm₂ - 2 log d.

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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 4.1

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

If log₁₀ 8 = 0.90; find the value of : log√32

Express the following in terms of log 5 and/or log 2: log250

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12

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

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 log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If log 8 = 0.90, find the value of each of the following: log4

Simplify: log b ÷ log b²

Find the value of:

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