Log Calculator
Compute logarithms to any base value with our real-time fractional base formula converter.
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Logarithm Result
2.00000
Base b Conversion Equivalence:
What is the Log Calculator?
The Logarithm Calculator solves for the exponent required to raise a base number to a specific value. It is critical in algebra, physics, and computer science for solving exponential growth and decay functions.
How It Works (Formula)
The logarithm asks a simple question: "The base must be raised to what power to equal $y$?" For example, the base-10 logarithm of 1000 is 3, because 10 raised to the power of 3 equals 1000.
$$ \log_b(x) = y \iff b^y = x $$
The core algebraic definition of a logarithm.
How to Use It
Enter the base of your logarithm (if unspecified, it usually defaults to 10). Then, enter the numerical value you want to evaluate. The calculator will instantly output the exact logarithmic exponent.