document.write( "Question 478395: please help me solve for x: 2logx=log2+log(3x-4) thanks \n" ); document.write( "
Algebra.Com's Answer #327786 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 2logx=log2+log(3x-4) \n" ); document.write( "** \n" ); document.write( "2logx=log2+log(3x-4) \n" ); document.write( "2logx-log2-log(3x-4)=0 \n" ); document.write( "2logx-(log2+log(3x-4))=0 \n" ); document.write( "place under single log \n" ); document.write( "log (x^2/2*(3x-4))=0 \n" ); document.write( "convert to exponential form: base(10) raised to log of number(0)=number(x^2/2*(3x-4)) \n" ); document.write( "10^0=(x^2/2*(3x-4)) \n" ); document.write( "1=x^2/6x-8 \n" ); document.write( "x^2=6x-8 \n" ); document.write( "x^2-6x+8=0 \n" ); document.write( "(x-4)(x-2)=0 \n" ); document.write( "x=4 \n" ); document.write( "or \n" ); document.write( "x=2 \n" ); document.write( " |