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Find the Logarithm of : 0.001 to the Base 10 - Mathematics

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Question

Find the logarithm of : 0.001 to the base 10

Sum

Solution

Let log100.001 = x 
∴ 10x = 0.001
⇒ 10x = `1/1000`

⇒ 10x = `1/10^3`
⇒  10x = 10-3
⇒ x = - 3        ......[ If am = an ; then m = n ]

∴ log100.001 = - 3

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Interchanging Logarithmic and Exponential Forms
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Chapter 8: Logarithms - Exercise 8 (A) [Page 103]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 8 Logarithms
Exercise 8 (A) | Q 4.3 | Page 103
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