SOLUTION: Log(base 9)(x-6)+log (base 9)(x-6)=1

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Question 690406: Log(base 9)(x-6)+log (base 9)(x-6)=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Log(base 9)(x-6)+log (base 9)(x-6)=1
log9[(x-6)(x-6)]=log9(9)
x^2-12x+36=9
x^2-12x+25=0
solve for x by completing the square
x^2-12x+25=0
(x^2-12x+36)=-25+36
(x-6)^2=11
x-6=±√11
x=6±√11
x=6±3.317
x≈2.683(reject, (x-6)>0)
or
x≈9.317