Question 311366
log(x)=log(3)+log(x-6)
log(x) = log[3(x-6)]
x = 3(x-6)
x = 3x - 18
2x = 18
x = 9
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log(X)+log(x-5)=log(6)
log(x(x-5)) = log6
x(x-6) = 6
x^2-6x-6 = 0
x = [6+- sqrt(36 -4*-6)]/2
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x = [6 +- sqrt(60)]/2
x = [6 +- 2sqrt(15)]/2
x = [3 +- sqrt(15)]
Positive solution:
x = 3 + sqrt(15)
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Cheers,
Stan H.
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