SOLUTION: log(small)4(x+3) + log(small)4 (x-3)=2 the fours are small in the bottom corner so that's why i put small.

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Question 195711: log(small)4(x+3) + log(small)4 (x-3)=2 the fours are small in the bottom corner so that's why i put small.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Combine the logs using the identity


Rewrite the equation using the property: ====>


Square 4 to get 16


FOIL


Add 9 to both sides.


Combine like terms.


Take the square root of both sides.


or Break up the "plus/minus"


or Take the square root of 25 to get 5



So the possible solutions are or



However since you cannot take the log of a negative number, this rules out as a solution (since plugging this value in results in a negative argument)

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Answer:

So the only solution is

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