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

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