Change of Base Formula
Let a > 0, a eq 1, b > 0, b eq 1, N > 0, then log a N = (log b N)/(log b a). In particular, log a b = (1)/(log b a). This formula is used to convert a logarith…
Syllabus path: Functions › Basic Elementary Functions › Logarithmic Functions
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CSCA Mathematics Formula Reference
Formula and explanation
Let a > 0, a eq 1, b > 0, b eq 1, N > 0, then log a N = (log b N)/(log b a). In particular, log a b = (1)/(log b a). This formula is used to convert a logarithm to any base, often using the natural logarithm ( ln ) or common logarithm ( lg ) as an intermediate base.
Related tutorial and examples
Logarithmic Functions
Logarithmic Functions 1. Core Concepts Logarithmic Function is the Inverse Function of the Exponential Function. The key lies in the constraints of the "Base" and the "Argument". Definition: The function y = log a x ( a > 0, a eq 1 ) is a logarithmic function. x is the Argument (…
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