Log Calculator With Any Base

This tool calculates the Logarithm with base n of a number x.

Formula

y = Log_n(x)

Example Calculation

The Logarithm base n = 4 of x = 64 is 3.

Applications of Logarithms

• In computer science, base-2 logarithms (log⁡₂​) are commonly used to measure the complexity of algorithms.
• In finance, logarithms help model exponential growth or decay, such as in compound interest.
• In engineering and physics, logarithms with base e (natural logs) are used to solve problems involving exponential growth or decay, like radioactive decay or population growth.