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Here is a link to the question:A math function question please help?

F(x) = a loge(x) + 1/2

Find the inverse which I found is e^x/a

It then said let a=2 and sketch graph which I did.

I'm getting trouble at this part

Find the value of a in 3 decimal places such that the graphs of y=f(x) and its inverse touch each other once only.

And hence find the contact point.

Please help explanations too please

A math function question please help? - Yahoo! Answers

I have posted a link there to this topic so that the OP may find my response.