SOLUTION: logx+log(x-5)=1

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Question 898049: logx+log(x-5)=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%28x%29%29%2Blog%28%28x-5%29%29=1
log%28%28x%28x-5%29%29%29=1
x%28x-5%29=10
x%5E2-5x=10
x%5E2-5x%2B25%2F4=10%2B25%2F4
%28x-5%2F2%29%5E2=40%2F4%2B25%2F4
%28x-5%2F2%29%5E2=65%2F4
x-5%2F2=0+%2B-+sqrt%2865%29%2F2
x=5%2F2+%2B-+sqrt%2865%29%2F2
Since only positive log arguments are allowed.
x=5%2F2+%2B+sqrt%2865%29%2F2