SOLUTION: log4(x-2)+log4(x+10)=3

Question 819150: log4(x-2)+log4(x+10)=3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log4(x-2)+log4(x+10)=3
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log4[(x-2)(x+10)] = 3
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log4(x^2+8x-20) = 3
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x^2+8x-20 = 4^3 = 64
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x^2 + 8x - 84 = 0
(x-6)(x+14) = 0
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Positive solution:
x = 6
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Cheers,
Stan H.
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