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Write the Logarithmic Equation For: E = 1 2 M V 2 - Mathematics

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Question

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Sum

Solution

E = `(1)/(2)"m v"^2`
Considering log on both the sides, we get

logE = `"log"(1/2 "m v"^2)`

= `"log"(1)/(2) + "log" "m" + "log" "v"^2`
= log1 - log2 + logm + 2logv
= logm + 2logv - log2.

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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 4.2
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