SOLUTION: log(x-9)=1-logx

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Question 882278: log(x-9)=1-logx
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%28x-9%29%29=1-log%28%28x%29%29


log%28%28x-9%29%29%2Blog%28%28x%29%29=1


log%28%28x%29%29%2Blog%28%28x-9%29%29=1


log%28%28x%2A%28x-9%29%29%29=1


x%2A%28x-9%29=10%5E1


x%2A%28x-9%29=10


x%5E2-9x=10


x%5E2-9x-10=0


%28x-10%29%28x%2B1%29=0


x-10=0 or x%2B1=0


x=10 or x=-1


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The *possible* solutions are x=10 or x=-1


However, the domain of log%28%28x%29%29 is x%3E0


So x=-1 is NOT possible as it's NOT in the domain of log%28%28x%29%29


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The only solution is x=10