document.write( "Question 64162: How do you solve the following equations?\r
\n" ); document.write( "\n" ); document.write( "log2(3x+2)-log2(x+2)=1\r
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\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "ln(x-1)=4-ln(x+2)\r
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\n" ); document.write( "\n" ); document.write( "i've tried repeatedly and my professor won't help!
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Algebra.Com's Answer #44813 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How do you solve the following equations?
\n" ); document.write( "log2(3x+2)-log2(x+2)=1
\n" ); document.write( "log2[(3x+2)/(x+2)]=1
\n" ); document.write( "[(3x+2)/(x+2)]=2^1
\n" ); document.write( "3x+2=2(x+2)
\n" ); document.write( "3x+2=2x+4
\n" ); document.write( "x=2
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\n" ); document.write( "ln(x-1)=4-ln(x+2)
\n" ); document.write( "ln(x-1)+ln(x+2)=4
\n" ); document.write( "ln[(x-1)(x+2)]=4
\n" ); document.write( "(x-1)(x+2)=e^4
\n" ); document.write( "x^2+x-2=54.598
\n" ); document.write( "x^2+x-56.598=0
\n" ); document.write( "x=[-1+-sqrt(1-4*-56.598)]/2
\n" ); document.write( "x=[-1+-sqrt(227.392)]/2
\n" ); document.write( "x=7.03976...
\n" ); document.write( "The negative answer will not work in the original equation.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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