Logarithm Calculator

Logarithms appear in many areas such as algebra, computer science, signal processing, and statistics, but switching between different bases can be tedious when done manually.

This calculator shows the custom-base logarithm and the most common standard forms at the same time. The change-of-base formula (log_b(x) = ln(x) / ln(b)) is displayed visually, making the calculation process clear during learning.

It is useful for studying the change-of-base formula, checking software output, or preparing documents where multiple logarithm forms must be compared quickly. You can adjust the decimal places for precision when needed. Invalid inputs such as a non-positive value, a non-positive base, or base 1 are rejected clearly.