document.write( "Question 382190: Solve the following logarithmic. if there is no solution, state No Solution (Round your to 4 decimal places)\r
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document.write( "ln(x+5)-ln(x-4)=ln(x-2) \n" );
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Algebra.Com's Answer #270940 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ln(x+5)-ln(x-4)=ln(x-2) \n" ); document.write( "- \n" ); document.write( "ln[(x+5)/(x-4)] = ln(x-2) \n" ); document.write( "--- \n" ); document.write( "(x+5)/(x-4) = x-2 \n" ); document.write( "--- \n" ); document.write( "x+5 = x^2-6x+8 \n" ); document.write( "x^2 -7x + 3 = 0 \n" ); document.write( "---- \n" ); document.write( "x = [7 +- sqrt(49-4*1*3)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [7 +- sqrt(37)/2 \n" ); document.write( "--- \n" ); document.write( "x = (7+sqrt(37))/2 or x = (7-sqrt(37))/2 \n" ); document.write( "---- \n" ); document.write( "x = 6.5414... or x = 0.4586... \n" ); document.write( "--------- \n" ); document.write( "Only Viable Answer: x = 6.5414 \n" ); document.write( "--- \n" ); document.write( "Why? ln(x-2) would be the ln of a negative \n" ); document.write( "if x = 0.4586. \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |