How do you find the inverse of $y=log(50x)$ ?

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Answer 1 · 2015-12-01T16:04:07

$f^-1(x)=10^x/50$

Write as $y=log_10(50x)$ .

Switch the $x$ and $y$ and solve for $y$ .

$x=log_10(50y)$

$10^x=10^(log_10(50y))$

$10^x=50y$

$y=10^x/50$

$f^-1(x)=10^x/50$

How do you find the inverse of y=log(50x)y=log(50x)?