document.write( "Question 748218: ln(x^3)-ln(2-(3/2)x)=ln(2x), solve for x. \n" ); document.write( "
Algebra.Com's Answer #455374 by MathLover1(20850)\"\" \"About 
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\"ln%28x%5E3%29-ln%282-%283%2F2%29x%29=ln%282x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%28x%5E3%29-ln%28%284-3x%29%2F2%29=ln%282x%29\"........since \"ln%28%284-3x%29%2F2%29=ln%284-3x%29-ln%282%29\", we will have\r
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\n" ); document.write( "\n" ); document.write( "\"ln%28x%5E3%29-%28ln%284-3x%29-ln%282%29%29=ln%282x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%28x%5E3%29-ln%284-3x%29%2Bln%282%29=ln%282x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%28x%5E3%29%2Bln%282%29=ln%282x%29%2Bln%284-3x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%282x%5E3%29=ln%282x%284-3x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E3=2x%284-3x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%282%29x%5Ecross%283%29=cross%282%29cross%28x%29%284-3x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=4-3x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3x-4=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-4%29+%29%29%2F%282%2A1%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9%2B16+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%2825+%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+5%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B+5%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+2%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=1+\"......real solution\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+-+5%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-8%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=-4+\".....assuming a complex-valued logarithm\r
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