SOLUTION: solve f(x) = log3(x-2) Graph as well

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Question 682555: solve f(x) = log3(x-2)
Graph as well
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
To graph this, use the well-known formula log%28b%2Cy%29=+%28ln+y%29%2F%28ln+b%29+

In this case, f%28x%29+=+log+%283%2Cx-2%29+=+%28ln+%28x-2%29%29%2F%28ln+3%29+. Are you allowed to use a graphing calculator? If so, it should look like this:

graph%28300%2C300%2C-1%2C10%2C-1%2C10%2C+ln%28x-2%29%2F1.1+%29+

Unfortunately, using the algebra.com graphing system, I was not able to graph
y=+%28ln%28x-2%29%29%2F%28ln+3%29+, so it was necessary to insert the approximate value of ln 3 = 1.1. I don't have any idea why, because my graphing calculator handles it just fine! I spent a lot of time trying to graph this using the algebra.com using the denominator of ln 3, but it just wouldn't do it for me.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida

www.mathinlivingcolor.com.