Logarithm Calculator

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A comprehensive logarithm calculator with three tabs. The Log Calculator tab computes log₁₀, ln (natural log), log₂, or any custom positive base. The change-of-base formula is shown for custom bases. The Antilog tab reverses the calculation: given a log value and base, it finds the original number. The Rules tab displays all six fundamental logarithm rules (product, quotient, power, root, change-of-base, zero/one identities) with examples, plus a reference table of common log values (log₁₀(1)=0, log₁₀(10)=1, ln(e)=1, etc.). Results are shown in decimal with up to 10 significant figures. Supports inputs from 0.0001 to 10^15.

How to Use

  1. 1Select a base: log₁₀, ln (natural log), log₂, or Custom (enter any positive base ≠ 1)
  2. 2Enter the value you want to find the logarithm of
  3. 3The result appears with the change-of-base formula shown
  4. 4Switch to Antilog tab: enter the log value and base to find the original number
  5. 5The Rules tab provides all six log rules and common identity values for reference

Features

  • Modes: log₁₀, ln, log₂, Custom base
  • Change-of-base formula shown
  • Antilog calculator
  • Log rules reference (6 rules + identities table)
  • Up to 10 significant figures
  • 100% browser-based

Frequently Asked Questions

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