Logarithm Calculator

Compute logarithms: log base 10, natural log (ln), or a custom base.

Valid when x > 0.

Result

Answer:
Details:

About This Calculator

The Logarithm Calculator computes logarithms in different bases including common log (base 10), natural log (ln, base e), and custom bases. Essential for scientific calculations, data analysis, and solving exponential equations.

How to Use

  1. Enter the Number you want to find the logarithm of
  2. Select the Base: log₁₀, ln, or custom
  3. For custom base, enter your desired base value
  4. Click Calculate to see the result

Practical Use Cases

  • Science: Calculate pH levels, decibels, and earthquake magnitudes
  • Finance: Compute compound interest and growth rates
  • Data Analysis: Transform skewed data distributions
  • Computer Science: Analyze algorithm complexity (Big O)
  • Engineering: Solve exponential decay problems

? Frequently Asked Questions

How accurate is this

This calculator uses standard formulas and provides accurate results for typical use cases. For professional or critical applications, always verify results with certified professionals or official sources.

Is this calculator free to use?

Yes, this Math Logarithm Calculator is completely free to use with no registration required. You can use it as many times as needed without any limitations.

Can I use this on mobile devices?

Absolutely! This calculator is fully responsive and works perfectly on smartphones, tablets, and desktop computers.

How do I interpret the results?

The results are displayed clearly with appropriate units. Refer to the "About This Calculator" section for detailed information.