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

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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

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Answer:
So our answer is

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