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

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Question

Write the logarithmic equation for:

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

Sum

Solution

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

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 10 Logarithms
Exercise 10.2 | Q 4.1
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