nicolem33a
nicolem33a nicolem33a
  • 13-04-2022
  • Mathematics
contestada

=
Which of the following is the inverse of y=3"?

Which of the following is the inverse of y3 class=

Respuesta :

Lenvy
Lenvy Lenvy
  • 13-04-2022

Answer:

[B] [tex]y=log_3x[/tex]

Step-by-step explanation:

Given:

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

Exchange the variables:

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

Putting the variable y on the left side of the equation:

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

Applying the logarithm properties:

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

Thus,

[tex]f^-^1=log_3(x)[/tex]

Hence, the answer is [B] [tex]y=log_3x[/tex]

~lenvy~

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