SOLUTION: solve 2log X- log(X-2) =2 log 3

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Question 1029334: solve 2log X- log(X-2) =2 log 3
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
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solve 2log X- log(X-2) =2 log 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

2*log(x) - log(x-2) = 2*log(3)  --->

 -  =   --->

 =   --->

 = ,           (next step is to multiply both sides by (x-2) to rid off the denominator)

 =          (next step is to simplify)

 = ,       (next step is to factor the left side)

(x-3)*(x-6) = 0.

The roots of the last equation are  x = 3  and  x = 6.

They both satisfy the original equation. Check it !

Answer.  x = 3  and  x = 6.


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