Logarithm Calculator

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

See an example

How to use this calculator

Enter the logarithmic expression you want to simplify below..

The logarithm calculator simplifies the given logarithmic expression by using the laws of logarithms.

Click the arrow to submit. Choose "Simplify/Condense" from the topic selector and click to see the result in our Algebra Calculator!

Pick a topic to see a worked, step-by-step example.

Popular problems students solve with this calculator.

Enter your problem

Type it into the calculator above, or use the on-screen math keyboard for fractions, exponents, radicals, and more.

Choose what to solve

Pick the topic that matches what you want done from the list Mathway suggests for your problem.

Get the answer with steps

See the result instantly, then follow the step-by-step explanation of how it was solved.

Step-by-step solutions

See how your answer is calculated.

Supports all types of problems

From basic math through calculus and beyond.

Accurate mathematical results

Get exact answers you can trust.

Trusted by students

A reliable tool for homework and learning.

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Ready to try it yourself?

Enter a problem in the calculator above to get the answer with step-by-step solutions.