How do you find the inverse of $y = 10^{x}$ $y=10^x$ ?

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Answer 1 · 2015-12-23T22:15:11

$log x$ $logx$

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

$\Leftrightarrow 10^{y} = x$ $iff10^y=x$

$\Leftrightarrow y = log x$ $iffy=logx$

Graphically the graph is

graph{10^x [-12.82, 19.21, -5, 11.02]}

and its inverse is

graph{logx [-21.58, 29.74, -15.14, 10.54]}

How do you find the inverse of y=10xy=10^x?