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Logarithm Calculator

Solve Logarithm step by step — enter coefficients or expressions to get roots, factors, or simplified forms with detailed algebraic working.

Formula

y = log_b(x)

Finds the exponent y such that b^y = x.

Worked Examples

Example 1: Log Base 10

Problem:log10(100)

Solution:10^2 = 100

Result:2

Example 2: Log Base 2

Problem:log2(8)

Solution:2^3 = 8

Result:3

Example 3: Natural Log

Problem:ln(e)

Solution:e^1 = e

Result:1

Frequently Asked Questions

What is a logarithm?

A logarithm is the inverse operation to exponentiation. It answers the question: "To what power must I raise the base b to get x?"

References