Question

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 ​.

Answer 1

2 Answers: Choice B and Choice C

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Explanation:

• Choice A is false because all of $y = 3^x$ 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 $y = 3^x$ to logarithmic form leads to $x = \log_3(y)$. So you'll need to swap the x and y.

Answer 2

Answer:

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

• The functions are inverses of each other.