This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

To calculate the logarithm of a number x with base b, enter your values below. Did we solve your problem today? We make it count! The log calculator (logarithm) calculates the value of a logarithm …

Simplify logarithmic expressions using algebraic rules step-by-step. AI may present inaccurate or offensive content that does not represent Symbolab's views. Save to Notebook!

In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 …

Free logarithm calculator - step-by-step solutions to help simplify logarithmic expressions.

In order to calculate log -1 (y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or calculate button:

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Sometimes a logarithm is written without a base, like this: log (100) This usually means that the base is really 10. It is called a "common logarithm".

Jan 6, 2026 · Calculate logarithm for any base with step-by-step solutions, interactive visualization, and conversion between common log types (natural log, log base 10, log base 2).