SOLUTION: Given that {{{3^(x+2)}}} = {{{6^(2x)}}}. Show that x = {{{log(12,(9))}}}

Question 533803: Given that = . Show that x =
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

                    = 

Take log base 12 of both sides:

               = 

               = 

               = 

               = 

               = 

To make things easier, let  = A and let  = B

              (x + 2)*A = 2x(A + B)
                Ax + 2A = 2Ax + 2Bx 
                     2A = Ax + 2Bx
                     2A = x(A + 2B)
                   = x
Therefore:

x =  =  =  =  =  =  =  = 
               
Edwin

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