Log graphs and exponential graphs.

[monsieurdavidspatar]

How would I describe the graph of y=log₂x in relation to the graph of y=2^x?

Thank you.

[RuiAce]

How would I describe the graph of y=log₂x in relation to the graph of y=2^x?

Thank you.

They're inverse functions. The graph of the inverse of a function is essentially its reflection about the line y=x.

[hassannaveed]

Yes they are inverse functions. This can be proved by considering one of the functions, say y=log₂x.
To find inverse, we swap x and y. So we get:
x=log₂y
and rearranging this equation gives us y=2^x