Skip to main content
Calcimator

Logarithm Calculator

Calculate logarithms with any base. Get log base 10, natural log (ln), log base 2, and custom base logarithms instantly.

Inputs

Results

log_b(x)

2

ln(x) — Natural Log4.60517
log₁₀(x)2
log₂(x)6.643856
Formulalog₍10₎(100) = 2

log_b(x)

2

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Value (x) — The input value. Accepts values from 0.001 to 1,000,000 (default: 100).
  3. Base (b) — The base of the logarithm. Common: 10, e (2.718), 2. Accepts values from 0.001 to 10,000 (default: 10).
  4. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  5. log_b(x) — shown as a numeric value. This is the primary result of this calculator.
  6. ln(x) — Natural Log — shown as a numeric value.
  7. log₁₀(x) — shown as a numeric value.
  8. log₂(x) — shown as a numeric value.
  9. Formula — your calculated result.
  10. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
Ad Placeholder

Related Calculators

Percentage Calculator

Calculate percentages easily — find a percentage of a number, percentage increase/decrease, and percentage change between two values.

Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0). Find roots, discriminant, vertex, and axis of symmetry with a visual graph.

Standard Deviation Calculator

Calculate the mean, median, standard deviation, and variance for a set of numbers. Supports both population and sample calculations.

Ad Placeholder