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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: monsieurdavidspatar on September 22, 2016, 04:28:35 pm

Title: Log graphs and exponential graphs.
Post by: monsieurdavidspatar on September 22, 2016, 04:28:35 pm
How would I describe the graph of y=log2x in relation to the graph of y=2x?

Thank you.
Title: Re: Log graphs and exponential graphs.
Post by: RuiAce on September 22, 2016, 04:30:54 pm
Quote from: monsieurdavidspatar on September 22, 2016, 04:28:35 pm
How would I describe the graph of y=log2x in relation to the graph of y=2x?

Thank you.
They're inverse functions. The graph of the inverse of a function is essentially its reflection about the line y=x.
Title: Re: Log graphs and exponential graphs.
Post by: hassannaveed on October 01, 2016, 01:20:51 am
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=2x