<PRE><B>Question 685037</B>
Solve: 
Log8 square root x + log8 square root (5x+2) = 2/3
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1/2log8(x) + 1/2log8(5x+2) = 2/3
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1/2log8(x*(5x+2))= 2/3
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log8[5x^2+2x] = 4/3
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5x^2+2x = 8^(4/3)
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5x^2+2x = 16
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5x^2+2x-16 = 0
5x^2 + 10x - 8x - 16 = 0
5x(x+2) -8(x+2) = 0
(x+2)(5x-8) = 0
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Positive solution:
x = 8/5
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Cheers,
Stan H.
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