Which statements represent the relationship between y=2x and y=log2x ?

Select each correct answer.



The equation ​ y=log2x ​ is the logarithmic form of ​ y=2x ​. <<my choice

They are inverses of each other.

They are symmetric about the line y = x. <<my choice

They are symmetric about the line y = 0.

see your other post above when you posted as "R"

You have selected the correct answers.

The statement "The equation y=log2x is the logarithmic form of y=2x" is true. The equation y=log2x represents a logarithmic relationship between y and x, with the base of the logarithm being 2. This is the inverse form of the equation y=2x.

The statement "They are symmetric about the line y = x" is also true. If you graph both equations y=2x and y=log2x on a coordinate plane, you will observe that they are symmetric about the line y = x. This means that if you reflect one equation over that line, it will coincide with the other equation.

However, the statement "They are symmetric about the line y = 0" is not correct. If you graph both equations, you will see that they are not symmetric about the line y = 0.

So, the correct statements are:

- The equation y=log2x is the logarithmic form of y=2x.
- They are symmetric about the line y = x.