Common Logarithm/Examples/1000
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Example of Common Logarithm
The common logarithm of $1000$ is:
- $\log_{10} 1000 = 3$
Proof
| \(\ds 1000\) | \(=\) | \(\ds 10 \times 10 \times 10\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 10^3\) | Definition of Integer Power | |||||||||||
| \(\ds \leadsto \ \ \) | \(\ds \log_{10} 1000\) | \(=\) | \(\ds 3\) |
$\blacksquare$
Sources
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Logarithms