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Find the Logarithm of : 0.1 to the Base 10 - Mathematics

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Question

Find the logarithm of : 0.1 to the base 10

Sum

Solution

Let log100.1 = x
∴ 10x = 0.1
⇒ 10x = `1/10`
⇒  10x = 10-1
⇒  x = - 1       ......[ If am = an ; then m = n ]
∴ log100.1 = - 1 

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

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 8 Logarithms
Exercise 8 (A) | Q 4.2 | Page 103
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