document.write( "Question 64162: How do you solve the following equations?\r
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document.write( "log2(3x+2)-log2(x+2)=1\r
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document.write( "and\r
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document.write( "ln(x-1)=4-ln(x+2)\r
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document.write( "i've tried repeatedly and my professor won't help! \n" );
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Algebra.Com's Answer #44813 by stanbon(75887) ![]() 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 \n" ); document.write( "---------------- \n" ); document.write( " \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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |