Unlock Logarithm Base Conversions

Easily convert logarithms from any base to another with this intuitive calculator.

Calculation Result

Log() =

This is the logarithm of with base converted to base .

Error:

Understanding Change of Base Logarithm

The Change of Base Logarithm formula is used to convert logarithms from one base to another. It's particularly useful when your calculator can't compute logarithms for a specific base, but can handle common bases like base 10 or natural logarithms (base e).

Formula:

log n (x) = logb(x) / logb(n)

Where:

For example, to calculate log2(16) using base 10 logarithms: log2(16) = log10(16) / log10(2) ≈ 4.

Learn more about logarithms on Wikipedia.