SOLUTION: How do I solve the equation: $log_{2x}216=x$

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Question 905299: How do I solve the equation: $log_{2x}216=x$
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
this can be solved graphically.
i'm not sure if it can be solved algebraically.
at least i don't know how to do it.
by graphing i get x = 3 which satisfies the equation because:
log%282x%2C216%29=x becomes log%286%2C216%29=3 when x+=+3
you can confirm the solution is correct because the law of logs states:
log%28b%2Cx%29+=+y if and only if+b%5Ey+=+x
by that law:
log%282x%2C216%29+=+x if and only if %282x%29%5Ex+=+216
when x=3, %282x%29%5Ex+=+216 becomes %286%29%5E3+=+216 which becomes 216=216 which is true.