How this calculation works
When the base lies between zero and one, the exponent increases as the target decreases.
THE FORMULA
bˣ = y gives x = ln(y)/ln(b)A worked example
2 raised to 5 equals 32.
Good to know
Base 1 produces a constant expression.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find the real exponent required to reach a positive target.
The primary result is labeled “Exponent”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Base 1 produces a constant expression.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
2 raised to 5 equals 32.
Which rule does this calculator apply?
bˣ = y gives x = ln(y)/ln(b)