SOLUTION: http://imgur.com/Z4hZTUR what is the value of x?

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Question 799304: http://imgur.com/Z4hZTUR
what is the value of x?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
4%5Elog%282%2Cx-2%29=4%5Elog%284%2Cx%29


2%5E%282%2Alog%282%2C%28x-2%29%29%29=x

%28x-2%29%5E2=x


which has solutions x=1 and x=4. But x=1 is extraneous
...so x=4