Graphing Logarithms- Am I doing this correctly?

I was gone in class the day we went over how to graph logarithms. I know how to graph exponentials, and I tried following the online notes my teacher provided but I still feel as if my answer is incorrect. One of my points crosses the asymptote so I know it's definitely wrong but I'm not sure why. Can I get some help? I want to actually understand how to do this because we'll be tested on it next Tuesday.

http://imgur.com/eutmc5E

This is the answer I got. It doesn't even line up across the asymptote. Will there ever be instances where that will actually happen? Any help would be amazing. Thank you!

Posted Apr 15, 2016, 2:15 AM UTC

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