SOLUTION: log x = log 12- log (x+1)

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Question 1029331: log x = log 12- log (x+1)
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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log x = log 12- log (x+1)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

log(x) = log(12)- log (x+1)  --->

log(x) + log(x+1) = log(12)  --->

log(x*(x+1)) = log(12)  --->

x*(x+1) = 12  --->

 =   --->

Factor left side

(x+4)*(x-3) = 0,

The roots of this equation are  x = -4,  and/or  x = 3.

Only  x = 3  fits due to logarithm.

Answer.  x = 3.


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