Changing the Base

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Changing the Base

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Changing the Base

By definition, $x = b^{\. Taking the log base $a$ of both sides gives

\

which tells how to convert the base from $b$ to $a$, that is, how to convert the log base $b$ of $x$ to the log base $a$ of $x$. (Just multiply by the log base $a$ of $b$.)

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