document.write( "Question 327235: For what values of x is the following true?\r
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document.write( "ln(2x+3) = 2lnx+ln3\r
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document.write( "Thanks! \n" );
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Algebra.Com's Answer #234394 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ln(2x+3) = 2lnx+ln3 \n" ); document.write( "--- \n" ); document.write( "ln(2x+3) = ln(x^2) + ln(3) \n" ); document.write( "--- \n" ); document.write( "ln(2x+3) = ln[3x^2] \n" ); document.write( "--- \n" ); document.write( "Take the anti-log and solve for \"x\": \n" ); document.write( "2x+3 = 3x^2 \n" ); document.write( "--- \n" ); document.write( "3x^2 - 2x - 3 = 0 \n" ); document.write( "--- \n" ); document.write( "Quadratic Formula: \n" ); document.write( "x = [2 +- sqrt(4 - 4*3*-3)]/6 \n" ); document.write( "----------- \n" ); document.write( "x = [2 +- sqrt(40)]/6 \n" ); document.write( "--- \n" ); document.write( "x = [2 +- 2sqrt(10)]/6 \n" ); document.write( "--- \n" ); document.write( "x = [1 +- sqrt(10)]/3 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |