Math & Science100% Free Tool

Free Logarithm Calculator (Natural Log ln, Log Base 10 & Base N) Online

Calculate logarithms with any arbitrary base: Natural Log (ln base e), Common Log (base 10), Binary Log (base 2), and custom base b. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Algebraic & Polynomial Solverax² + bx + c = 0
Roots of Equationx₁ = 3.000, x₂ = 2.000
Discriminant (Δ)1
Parabola Vertex(2.50, -0.25)
Axis of Symmetryx = 2.50

How It Works

1

Enter Number (x)

Input positive real argument (x > 0).

2

Select or Enter Base (b)

Choose e (Natural ln), 10, 2, or custom positive base (b ≠ 1).

3

Change of Base Formula

Evaluates log_b(x) = ln(x) / ln(b).

4

Copy High-Precision Result

Save computed logarithmic power.

Frequently Asked Questions

A logarithm answers the question: to what exponent must the base be raised to produce that number? If b^y = x, then log_b(x) = y.

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