<PRE><B>Question 1035219</B>
log(base 5) x + log(base 5) (4x+1)= 1
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log5[x(4x+1)] = 1
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4x^2+4x = 5
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4x^2 + 4x - 5 = 0
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x = [-4 +- sqrt(16-4*4*-5)]/8
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x = [-4 +- sqrt(96)]/8
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x = [-4 +- 4sqrt(6)]/8
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Positive solution::
x = [-4+4*sqrt(6)]/8 = 0.7247
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Cheers,
Stan H.
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