Find the Logarithm of : 0.1 to the Base 10

Find the logarithm of : 0.1 to the base 10

Sum

Let log₁₀0.1 = x
∴ 10^x = 0.1
⇒ 10^x = `1/10`
⇒ 10^x = 10^-1
⇒ x = - 1 ......[ If a^m = 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]

Chapter 8 Logarithms
Exercise 8 (A) | Q 4.2 | Page 103

Express the following in logarithmic form:
10^–3 = 0.001

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Find the logarithm of : `1/81` to the base 27

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