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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