SOLUTION: solve exactly log(x+4)-log(x-3)=log 8

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 Question 110929: solve exactly log(x+4)-log(x-3)=log 8Found 2 solutions by jim_thompson5910, MathLover1:Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website! Start with the given equation Combine the logs using the identity Since the bases are equal, the arguments are equal Multiply both sides by x-3 Distribute Subtract 4 from both sides Subtract 8x from both sides Combine like terms on the left side Combine like terms on the right side Divide both sides by -7 to isolate x Divide -------------------------------------------------------------- Answer: So our answer is Answer by MathLover1(6815)   (Show Source): You can put this solution on YOUR website!........... apply rule ... notice that bases are same, and if , then ; it means we can write: ... multiply both sides by ... cancel both on the left side and multiply by on the right side ......move to the right and to the left ...... ......divide both sides by ......or