SOLUTION: determine the solution of the following logarithmic equation: xlog(x+6)=2

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Question 499539: determine the solution of the following logarithmic equation:
xlog(x+6)=2

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
determine the solution of the following logarithmic equation:
xlog(x+6)=2
**
determine the solution of the following logarithmic equation:
10^2=(x+6)^x (exponential form)
(x+6)^x-100=0
The graphics program on my computer gives answers of -5.563 and 2.1899, which check out, but I have no idea how to do it algebriacally. Maybe a smarter tutor would know how.

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