Algebra2D

Logarithms - Theory & Concepts - Logarithm Explorer

Rules of logarithms, natural logs, change of base formula, and solving logarithmic and exponential equations.

Base (b)2

Domain: $x > 0$

Base: $b > 1$

Asymptote: The log curve approaches $x = 0$ (the y-axis) but never touches it, because $b^y \neq 0$ .

Identity: $b^{\log_b(x)} = x$

Logarithmic Function

y = \log_{2}(x)

Exponential Function

y = 2^x

Reflection Line

y = x

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