Common Logarithm/Examples/0.01

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Example of Common Logarithm

The common logarithm of $0 \cdotp 01$ is:

$\log_{10} 0 \cdotp 01 = -2$


Proof

\(\ds 0 \cdotp 01\) \(=\) \(\ds \dfrac 1 {10 \times 10}\)
\(\ds \) \(=\) \(\ds 10^{-2}\) Definition of Integer Power
\(\ds \leadsto \ \ \) \(\ds \log_{10} 0 \cdotp 01\) \(=\) \(\ds -2\)

$\blacksquare$


Sources