SOLUTION: Okay so I have been trying to solve this answer from my homework packet but i just dont remeber how to do it..If log(x+2)/log3-log(x-2)\log3=2, then what is x? HELP!!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Okay so I have been trying to solve this answer from my homework packet but i just dont remeber how to do it..If log(x+2)/log3-log(x-2)\log3=2, then what is x? HELP!!      Log On


   



Question 203966: Okay so I have been trying to solve this answer from my homework packet but i just dont remeber how to do it..If log(x+2)/log3-log(x-2)\log3=2, then what is x? HELP!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If log(x+2)/log3-log(x-2)\log3=2
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Multiply thru by log(3) to get:
If log(x+2)-log(x-2) = 2log(3)
log[(x+2)/(x-2)] = log(9)
[(x+2)/(x-2)] = 9
Cross-multiply to solve for "x":
x+2 = 9x-18
8x = 20
x = 2.5
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Cheers,
Stan H.