Logarithm Solver
Solve logarithm-style equations of the form b^x = y. You can solve for the exponent x, the base b, or the result y.
Equation form:
b^x = y
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Privacy: calculations run locally in your browser. No inputs are stored or transmitted.
How it works
This solver works with the equation b^x = y.
- Solve for x: x = log(y) / log(b)
- Solve for b: b = y^(1/x)
- Solve for y: y = b^x
For real-number logarithms, the base must be positive and not equal to 1, and y must be positive when solving for x.
Examples
- 2^x = 8 → x = 3
- b^3 = 27 → b = 3
- 10^2 = y → y = 100
FAQ
- What does this logarithm solver do?
It solves equations of the form b^x = y by finding the exponent x, the base b, or the result y.
- When is a logarithm valid?
For real-number logs, the base must be positive and not equal to 1, and the result y must be positive when solving for the exponent.
- What formula is used to solve for the exponent?
It uses x = log(y) / log(b), which is the change-of-base formula.
- Can I solve for the base?
Yes. If x is known and not 0, the base is b = y^(1/x).
- Are calculations stored?
No. Everything runs locally in your browser.