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If Log 10 M = N, Express the Following in Terms of M: 10 -3n - Mathematics

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Question

If log 10 m = n, express the following in terms of m: 10 -3n 

Sum

Solution

10 -3n 
log 10 m = n
⇒ m = 10 n 
∴ 10 -3n 
= (10 n)-3
= (m)-3
= `(1)/("m"^3)`.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential
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Chapter 10: Logarithms - Exercise 10.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 10 Logarithms
Exercise 10.1 | Q 6.3
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