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Free Log Calculator - Logarithms

Calculate common log, natural log (ln), and logarithms with any base.

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Quick Answer

Logarithm answers: what exponent gives this result? log₁₀(100)=2 because 10²=100. ln uses base e (~2.718).

Key Facts about Log Calculator:

  • log₁₀(100) = 2
  • ln(e) = 1
  • log(a×b) = log(a) + log(b)
  • log(a/b) = log(a) - log(b)
  • Change of base: logₐ(x) = log(x)/log(a)

Why Use Our Log Calculator?

Log tools:

🔢

All Bases

Log 10, ln, custom base.

📊

Inverse

Anti-log too.

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Properties

Log rules explained.

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Step-by-Step

See the work.

Instant

Quick results.

🔒

Private

Data stays secure.

How to Log Calculator in 3 Easy Steps

Calculate logs:

1

Enter Number

The argument.

2

Select Base

10, e, or custom.

3

Get Result

See logarithm.

Why Use Our Calculator?

Any base

Natural log

Shows rules

Instant results

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Logarithms
Log calculations made easy

Common Use Cases for Log Calculator

Perfect for:

Algebra

Log equations.

Calculate

Science

pH, decibels.

Compute

Finance

Growth analysis.

Analyze

Frequently Asked Questions

Everything you need to know about our log calculator

What is ln?

Log base e (~2.718) - natural log.

Natural logarithm, log base e (~2.718). Used extensively in calculus and science.

Still have questions? Try the tool yourself!

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