Logarithm Calculator
Compute log_b(x) for any base, including natural and common logs.
Input Data
Base 10 / e / custom.
X
Base
Results
The logarithm.
2.30258509
Explanatory note about the result.
log(10) [natural] = 2.30258509
At a glance:log_b(x) is the power to which b must be raised to get x; log_b(x)=ln(x)/ln(b). Complements exponent and power.
Formula
log_b(x) = ln(x)/ln(b).
b^{log_b(x)} = x.
How to Use
- Pick a mode or custom base and enter x.
- The tool returns the log.
Case Studies
log10(1000)
3.
FAQ
ln vs log10?
ln is base e; log10 is base 10.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.