Rearranging a Logarithm Functon

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SHRock
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Homework Statement



y=ae^x

Homework Equations




rearrange to find a

The Attempt at a Solution



y/a=e^x

x=ln(y/a)

x=lny-lna

lny-x=lna

now how do I rearrange/inverse to seclude a
 
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[tex]ln(y)-x = ln(a) \Rightarrow\; a = e^{ln(y)}e^{-x} = ye^{-x}[/tex]