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.