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| Question 527917:  solve for x-  log3(2x-1)=2+log3(x-2)
 Answer by lwsshak3(11628)
      (Show Source): 
You can put this solution on YOUR website! solve for x- log3(2x-1)=2+log3(x-2) **
 log3(2x-1)=2+log3(x-2)
 log3(2x-1)-log3(x-2)=2
 place under single log
 log3[(2x-1)/(x-2)]
 convert to exponential form: (base(3) raised to log of number(2)=number(2x-1)/(x-2)
 3^2=(2x-1)/(x-2)=9
 2x-1=9x-18
 7x=17
 x=17/7
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