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
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Logarithms