Log Calculator

Evaluate logarithms with a chosen base and connect exponential form to logarithmic form.

Preparing Log Calculator

Please wait ...

Input

Enter the value and the base to calculate the logarithm directly. You will see the result first and the step-by-step solution below.

Input summary

Your calculator summary shows here.

Step by Step Calculation

log

Step by step calculation shows here

Calculate first and the full working will appear below automatically.

How to use Log Calculator

Provide the number and the base, and the calculator will return the exponent that makes the logarithmic statement true.

What this calculator is for

This calculator is for algebra, exponential equations, growth and decay models, and any problem where you need to move between exponent form and logarithm form.

Tips

The base must be positive and cannot equal 1.
The value inside the logarithm must be positive.
Read the result as an exponent: it tells you what power of the base produces the value.