Evaluate : Log10 0.01

Evaluate : log₁₀0.01

Sum

Let log₁₀0.01 = x
⇒ 10^x = 0.01
⇒ 10^x = `1/100`
⇒ 10^x = `1/[ 10 xx 10 ]`
⇒ 10^x = `1/10^2`
⇒ 10^x = 10^-2⇒ x = - 2
Thus, log₁₀0.01 = - 2

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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 7.1 | Page 103

Express the following in logarithmic form:

`3^-2 = 1/9`

Find the logarithm of : 100 to the base 10

Find the logarithm of : 0.1 to the base 10

Find the logarithm of : 32 to the base 4

Find the logarithm of : 0.125 to the base 2

Find the logarithm of : `1/16` to the base 4

Find the logarithm of : 27 to the base 9

State, true or false : If log₁₀ x = a, then 10^x = a.

Find x, if : log₅ (x - 7) = 1

State true or false in the following:
If log ₂ 8 = 3, then log ₈ 2 = `(1)/(3)`