What is the inverse of $y = a*ln(bx)$ ?

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Answer 1 · 2016-03-25T21:44:47

$y=(e^(x/a))/b$

Write as $y/a=ln(bx)$

Another way of writing the same thing is: $e^(y/a)=bx$

$=>x=1/bxx e^(y/a)$

Where the is an $x$ write $y$ and where original $y$ was write $x$

$y=(e^(x/a))/b$

This plot will be a reflection of the original equation about the plot of y=x.

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The formatting has not come out very clearly

Read as $y$ equals $e$ raised to the power of $x/a$ all over $b$

What is the inverse of y = a*ln(bx)y = a*ln(bx) ?