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08-07-2016
Mathematics

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A Find the inverse of (x)=3^x

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08-07-2016

find inverse steps
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x) or read as 'f inverse'

f(x)=3^x
y=3^x
x=3^y
take log₃ of both sides
log₃x=log₃3^y
remember, logₐa^ˣ=x
log₃x=y
y=log₃x
f⁻¹(x)=log₃x

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