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

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Add logx to both sides to get:
log(x-9) + log x = 1
By the product law you get the following:
log(x-9)x =1
Assuming you are using base ten you get the following:
x(x_9)=10^1
x^2-9x-10=0
Factor and solve for "x".
Check your answers in the original statement of the problem.
Cheers,
Stan H.