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.

2 answers

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I think you have a typo and you wanted to compare
y = 2^x with y = log2 x

They are inverses of each other.

Proof:
start with y = 2^x
the inverse is formed by interchanging the x and y's
----> x = 2^y
which in log form would be : y = y = log2 x