How do you find the inverse of $f (x) = 5^{x}$ $f(x) = 5^x$ ?

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Answer 1 · 2016-01-08T14:48:03

$f^{- 1} (x) = {log}_{5} x$ $f^(-1)(x)=log_5x$

By definition, $y = f^{- 1} (x) \Leftrightarrow f (y) = x$ $y=f^(-1)(x)ifff(y)=x$

$\Leftrightarrow 5^{y} = x$ $iff5^y=x$

$\Leftrightarrow y = {log}_{5} x$ $iffy=log_5x$

How do you find the inverse of f(x) = 5^xf(x)=5xf(x) = 5^x?