SOLUTION: Solve: Log8 square root x + log8 square root (5x+2) = 2/3 1/2log8 x X 1/2log8 (5x+2) = 2/3 1/2log8(x/5x+2)= 2/3 ???

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve: Log8 square root x + log8 square root (5x+2) = 2/3 1/2log8 x X 1/2log8 (5x+2) = 2/3 1/2log8(x/5x+2)= 2/3 ???       Log On


   

Question 685037: Solve: Log8 square root x + log8 square root (5x+2) = 2/3
1/2log8 x X 1/2log8 (5x+2) = 2/3
1/2log8(x/5x+2)= 2/3
???
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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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