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
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