BrehDan
contestada

Which of the following is the inverse of y=3^x?
A. Y = 1/3^x
B. Y=log(sub3X
C.Y=(1/3)^x
D. Y=log(sub1/3X

Respuesta :

I think A. Y = 1/3^X

Hope I helped ( :

Answer:

[tex]y=log_3(x)[/tex]

Step-by-step explanation:

the inverse of [tex]y=3^x[/tex]

To find inverse we swap the variable x  and y . then we solve for y

[tex]x=3^y[/tex]

Solve the equation for y by taking converting it into log form

[tex]a=b^c[/tex] can be written as [tex]c=log_b(a)[/tex]

[tex]x=3^y[/tex] can be written as  [tex]y=log_3(x)[/tex]

Inverse of the given equation is

[tex]y=log_3(x)[/tex]