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BRAINLIEST IF CORRECT HURRY
Which statements represent the relationship between y=3x and y=log3x ?

a. The graphs of functions are symmetric about the line y = 0.
b. The functions are inverses of each other.
c. The graphs of functions are symmetric to each other over the line y = x.
d. The equation ​ y=log3x ​ is the logarithmic form of ​ y=3x ​.

Respuesta :

2 Answers: Choice B and Choice C

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Explanation:

  • Choice A is false because all of [tex]y = 3^x[/tex] is above the x axis. There are no portions below the x axis, which means it cannot possibly be symmetric about the x axis.
  • Choice B is true. The exponential undoes the log, and vice versa. This only works if the bases of the exponential and log are the same. In this case, both are base 3.
  • Choice C is true. To visually find the inverse, we reflect over the line y = x.
  • Choice D is false. Converting [tex]y = 3^x[/tex] to logarithmic form leads to [tex]x = \log_3(y)[/tex]. So you'll need to swap the x and y.

Answer:

  • The graphs of functions are symmetric to each other over the line y = x.
  • The functions are inverses of each other.