SOLUTION: find x if log3 x-4 + log3 x-2 =1

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Question 621403: find x if log3 x-4 + log3 x-2 =1
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
find x if log3 x-4 + log3 x-2 =1
.
log%283%2Cx-4%29+%2B+log%283%2Cx-2%29+=1
log%283%2C%28x-4%29%28x-2%29%29+=1
%28x-4%29%28x-2%29+=+3%5E1
x%5E2-6x%2B8+=+3
x%5E2-6x%2B5+=+0
%28x-1%29%28x-5%29+=+0
x = {1,5}
we can throw out the 1 (extraneous) leaving:
x = 5