document.write( "Question 382210: Solve the following logarithmic equation. if there is no solution, state No Solution (Round your to 4 decimal places)\r
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document.write( "ln(x-2)+ln(x)=0 \n" );
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Algebra.Com's Answer #270956 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following logarithmic equation. if there is no solution, state No Solution (Round your to 4 decimal places) \n" ); document.write( "ln(x-2)+ln(x)=0 \n" ); document.write( "--- \n" ); document.write( "ln[(x-2)(x)] = 0 \n" ); document.write( "--- \n" ); document.write( "x(x-2) = 10^0 = 1 \n" ); document.write( "---- \n" ); document.write( "x^2-2x-1 = 0 \n" ); document.write( "---- \n" ); document.write( "x = [2 +- sqrt(4-4*1*-1)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [2 +- sqrt(8)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [2 +- 2sqrt(2)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [1 +- sqrt(2)]/2 \n" ); document.write( "========================= \n" ); document.write( "Only acceptable solution: \n" ); document.write( "x = (1+sqrt(2))/2 = 1.2071 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |