Logarithm Calculator

Calculate logarithms with any base. Find log, ln, log₂, log₁₀, and more. Visual representation with full breakdown.

Logarithm Type *

Output Format

Base (b) *

base

Base must be > 0 and ≠ 1

Value (x) *

value

Value must be > 0

Decimal Precision

Show Steps

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Logarithm Result

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Logarithm Visualization

Graphical representation of log function

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Calculation Breakdown

Step-by-step logarithm calculation

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Logarithm

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log_b(x)

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Base

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Value

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Exponent Form

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b^y = x

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Logarithm Formulas

Key logarithm concepts

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Logarithm Tips

Understanding logarithms

📊 Mathematical Disclaimer: This logarithm calculator computes log_b(x) where b > 0, b ≠ 1, and x > 0. Results are for educational purposes. Natural log uses base e ≈ 2.71828.