Logarithm Calculator

Compute logarithms for any number with standard bases (10, e, 2) or custom bases. Essential for solving exponential equations and scientific calculations.

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Logarithm Calculator

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Compute logarithms with base 10, e, 2 or custom

How It Works

  1. Enter the number (x) you want to calculate the logarithm for.
  2. Select the base (Common Log (10), Natural Log (e), Binary Log (2), or Custom).
  3. Click "Calculate" to get the result.
  4. View the result along with the mathematical notation.

Use Cases

  • Solving algebraic equations involving exponents
  • Calculating decibels in signal processing
  • Analyzing earthquake magnitudes (Richter scale)
  • Computer science algorithms (Binary search complexity)

Frequently Asked Questions

What is ln vs log?

"log" usually refers to base 10 (common logarithm), while "ln" refers to base e (natural logarithm).

Can I calculate log of negative numbers?

No, the logarithm of a negative number or zero is undefined in the real number system.

What is base 2 used for?

Base 2 (Binary Logarithm) is frequently used in computer science and information theory.