document.write( "Question 493606: Hi I need help with this question:\r
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document.write( "Evaluate log to the base 2,(2x+1) - log to the base 4,x^2= 1/log to the base 3,2. \n" );
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Algebra.Com's Answer #335795 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Evaluate log to the base 2,(2x+1) - log to the base 4,x^2= 1/log to the base 3,2 \n" ); document.write( "** \n" ); document.write( "log2(2x+1)-log4(x^2)=1/log3(2) \n" ); document.write( "Convert to log base 10 \n" ); document.write( "log(2x+1)/log2-log(x^2)/log4=log(3)/log(2) \n" ); document.write( "log(2x+1)/log2-log(x^2)/log4-log(3)/log(2)=0 \n" ); document.write( "log(2x+1)/log(2)-log(x^2)/2log(2)-log(3)/log(2)=0 \n" ); document.write( "LCD=2log(2) \n" ); document.write( "2log(2x+1)-log(x^2)-2log(3)=0 \n" ); document.write( "place under single log \n" ); document.write( "log[((2x+1)^2)/(x^2)(3^2)]=0 \n" ); document.write( ".. \n" ); document.write( "Convert to exponential form: base(10) raised to log of number(0)=number[((2x+1)^2)/(x^2)(3^2)] \n" ); document.write( ".. \n" ); document.write( "10^0=1=(4x^2+4x+1)/9x^2 \n" ); document.write( "(4x^2+4x+1)=9x^2 \n" ); document.write( "5x^2-4x-1=0 \n" ); document.write( "factor \n" ); document.write( "(5x+1)(x-1)=0 \n" ); document.write( "x=-1/5 \n" ); document.write( "or \n" ); document.write( "x=1 \n" ); document.write( " |