Calculator
Mathematics

Exponent & Logarithm Calculator Calculator

Calculates exponents and logarithms.

Tutorial / How it works →

Info

Use this tool to perform exponent, root, and logarithm operations from a single screen. Supported operations: - Power: a^b (e.g.: 2^10, 10^3, 1.05^12) - Root: b√a (e.g.: √9, ³√8, ⁴√16) - Logarithm: logₐ(b) (e.g.: log₂(8), log₁₀(1000), ln(e^3) ≈ 3) Core formulas used: - Power: a^b - Root: b√a = a^(1/b) - Logarithm: logₐ(b) = ln(b) / ln(a) (change of base formula) Results include a brief explanation and an approximate value where applicable.

Quick Summary: Exponents & Logarithms
  • In a^b, a is called the base and b is the exponent.
  • b√a can be written in exponential notation as a^(1/b).
  • logₐ(b) means 'logarithm of b in base a' and gives x in the equation a^x = b.
  • For logarithm, a > 0, a ≠ 1, and b > 0 are required.
This tool rounds approximate numbers to decimals. Check result precision as needed for your mathematical work.
Use advanced settings for more accurate results.