Logarithm Calculator
Logarithm in any base, plus the natural logarithm and the base-2 logarithm.
Results
Result
3.00000000
Result
6.90775528
Result
9.96578428
What this tool does
A logarithm answers the question “to what power must the base be raised to give this number”. Base 10 appears in decibels and pH, base 2 in computing and information theory, and the natural base e in anything that grows continuously.
Formula
log_b(x) = ln x ÷ ln b
Variables
| Symbol | Meaning | Unit |
|---|---|---|
x | Value | — |
b | Base | — |
L | Result | — |
LN | Result | — |
L2 | Result | — |
Worked example
- Value1000
- Base10
- Result3.00000000
- Result6.90775528
- Result9.96578428
Limitations
- The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.