document.write( "Question 685037: Solve: Log8 square root x + log8 square root (5x+2) = 2/3
\n" ); document.write( "1/2log8 x X 1/2log8 (5x+2) = 2/3
\n" ); document.write( "1/2log8(x/5x+2)= 2/3
\n" ); document.write( "??? \n" ); document.write( "

Algebra.Com's Answer #424479 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:
\n" ); document.write( "Log8 square root x + log8 square root (5x+2) = 2/3
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "1/2log8(x) + 1/2log8(5x+2) = 2/3
\n" ); document.write( "----------------------------------------
\n" ); document.write( "1/2log8(x*(5x+2))= 2/3
\n" ); document.write( "----
\n" ); document.write( "log8[5x^2+2x] = 4/3
\n" ); document.write( "----
\n" ); document.write( "5x^2+2x = 8^(4/3)
\n" ); document.write( "---
\n" ); document.write( "5x^2+2x = 16
\n" ); document.write( "----
\n" ); document.write( "5x^2+2x-16 = 0
\n" ); document.write( "5x^2 + 10x - 8x - 16 = 0
\n" ); document.write( "5x(x+2) -8(x+2) = 0
\n" ); document.write( "(x+2)(5x-8) = 0
\n" ); document.write( "---
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 8/5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=============================================
\n" ); document.write( " \n" ); document.write( "

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