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Evaluate : Log10 0.01 - Mathematics

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Question

Evaluate : log10 0.01

Sum

Solution

Let log10 0.01 = x
⇒ 10x = 0.01
⇒ 10x = `1/100`
⇒ 10x = `1/[ 10 xx 10 ]`
⇒ 10x = `1/10^2`
⇒ 10x = 10-2
⇒ x = - 2
Thus, log10 0.01 = - 2

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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 7.1 | Page 103
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