document.write( "Question 534105: log 2x+ log x=5
\n" ); document.write( "2logx+ log4-2=0
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Algebra.Com's Answer #351296 by fcabanski(1391)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "log 2x + log x = 5

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\n" ); document.write( "\n" ); document.write( "Using the Product Property log (2x*x) = log (2x^2) = 5

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\n" ); document.write( "\n" ); document.write( "Using definition of log 2x^2 = 10^5 ---> 2x^2 = 100,000

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\n" ); document.write( "\n" ); document.write( "Divide both sides by 2

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\n" ); document.write( "\n" ); document.write( "x^2 = 50,000 Take the square root of both sides.

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\n" ); document.write( "\n" ); document.write( "x = + or - 223.6 (That's approximate. It's exactly + or - sqrt(50000))

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\n" ); document.write( "\n" ); document.write( "You can ignore the negative solution unless you're dealing with imaginary numbers.\r
\n" ); document.write( "\n" ); document.write( "To check, plug 223.6 back into the equation. You'll see it works. \n" ); document.write( "

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