Algebra & Equations
Solve aˣ = b
Solve for the exponent x in aˣ = b.
Formula
Formula
x = ln bln a
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a | base | real number (ℝ) | — | input |
| b | target value | real number (ℝ) | — | input |
| x | exponent | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenbase a = 2, b = 32
Result5
Example 2
Givenbase a = 10, b = 5000
Result3.698970004