document.write( "Question 712321: log base 3(2x+3) + log base 3 (X-2)=log base 3 72 what would the answer be in traditional \n" ); document.write( "
Algebra.Com's Answer #437864 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! log base 3(2x+3) + log base 3 (X-2)=log base 3 72 \n" ); document.write( "log base 3(2x+3)(X-2)=log base 3 72 \n" ); document.write( "(2x+3)(X-2)= 72 \n" ); document.write( "2x^2-4x+3x-6=72 \n" ); document.write( "2x^2-x-6=72 \n" ); document.write( "2x^2-x-78=0 \n" ); document.write( "rewrite the middle term: \n" ); document.write( "2x^2+12x-13x-78=0 \n" ); document.write( "(2x^2+12x)-(13x+78)=0 \n" ); document.write( "2x(x+6)-13(x+6)=0 \n" ); document.write( "(x+6)(2x-13) = 0 \n" ); document.write( "x = {-6, 13/2} \n" ); document.write( "throw out the negative solution (extraneous) leaving: \n" ); document.write( "x = 13/2 \n" ); document.write( " \n" ); document.write( " |