Logarithm Calculator

Calculate logarithms with any base. Compute log, ln, log₂, and log₁₀ of any number.

How to Use This Calculator

Enter your values in the fields above and click "Calculate" to get instant results. This logarithm calculator provides accurate results with step-by-step explanations.

Formula

log_b(x) = ln(x) / ln(b)

Quick Examples

Frequently Asked Questions

What is a logarithm?

A logarithm is the inverse of exponentiation. log_b(x) = n means b^n = x. For example, log₁₀(100) = 2 because 10² = 100.

What is the natural logarithm?

The natural logarithm (ln) uses the mathematical constant e (~2.71828) as its base.

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