Arithmetic & Number Theory
Logarithm Base n
Logarithm of x to an arbitrary base.
Formula
Formula
log_b(x) = ln xln b
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| x | input (> 0) | real number (ℝ) | — | input |
| b | base (> 0, ≠ 1) | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenx = 81, base b = 3
Result4
Example 2
Givenx = 1000, base b = 10
Result3