SOLUTION: logx=3-log(100x+900)

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Question 1149420: logx=3-log(100x+900)
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
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log(x) = 3-log(100x+900)   ============>


x = 1000%2F%28100x+%2B+900%29


x*(100x + 900) = 1000


100x^2 + 900x = 1000


x^2 + 9x - 10 = 0


(x+10)*(x-1) = 0.


The roots are  x= -10  and  x= 1.


Only positive root makes sense.


Answer.  The only solution is x = 1.

Solved.