Algebra2D

Logarithms - Theory & Concepts - Logarithm Rules

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

Select Logarithm Law

Base (b)10

Value x10

Value y5

Expanded vs Condensed Values

Condensed Left Side

\log_{10}(10 \cdot 5)

1.6990

Expanded Right Side

\log_{10}(10) + \log_{10}(5)

1.6990

Adjust sliders to watch both condensed and expanded mathematical equations update in real-time, verifying logarithmic parity.

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