Respuesta :

mariollosa1234

Answer:

[tex]Log_{(3)}X[/tex]

Step-by-step explanation:

[tex]f(x)=3^{X}[/tex]

[tex]y=3^{X}[/tex]

exchange the variables x and y

[tex]X=3^{y}[/tex]

[tex]Log_{(3)}X=Log_{(3)}3^{y}[/tex]

[tex]Log_{(3)}X=y[/tex]

[tex]f^{-1}(x)=Log_{(3)}X[/tex]

BasketballEinstein

Answer:

[tex]\frac{ln \: x}{ln \: 3} = {f}^{-1}(x)[/tex]

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

I am joyous to assist you anytime.

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