document.write( "Question 473615: Solve
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document.write( "*Please answer as soon as possible bro :) \n" );
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Algebra.Com's Answer #324833 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! i) log(base3)(2x + 1) = 2 + log (base3) (3x - 11) \n" ); document.write( "ii)log(base4)y + log (base2)y = 9 \n" ); document.write( "** \n" ); document.write( "i) log3(2x+1)=2+log3(3x-11) \n" ); document.write( "log3(2x+1)-log3(3x-11)=2 \n" ); document.write( "log3[(2x+1)/(3x-11)]=2 \n" ); document.write( "convert to exponential form: (base(3) raised to log of number(2)=number(2x+1)/(3x-11) \n" ); document.write( "3^2=(2x+1)/(3x-11)=9 \n" ); document.write( "2x+1=27x-99 \n" ); document.write( "25x=100 \n" ); document.write( "x=4 \n" ); document.write( "Check: \n" ); document.write( "log3(2x+1)=2+log3(3x-11) \n" ); document.write( "log3(8+1)=2+log3(12-11) \n" ); document.write( "log3(9)=2+log3(1) \n" ); document.write( "2=2+0 \n" ); document.write( ".. \n" ); document.write( "ii)log4y+log2y=9 \n" ); document.write( "change to base 2 \n" ); document.write( "log2y/log2(4)+log2y=9 \n" ); document.write( "log2y/2+log2y=9 \n" ); document.write( "LCD:2 \n" ); document.write( "log2y+2log2y=18 \n" ); document.write( "3log2y=18 \n" ); document.write( "log2y=6 \n" ); document.write( "convert to exponential form: (base(2) raised to log of number(6)=number (y) \n" ); document.write( "2^6=y \n" ); document.write( "y=64 \n" ); document.write( "Check: \n" ); document.write( "log4y+log2y \n" ); document.write( "log4(64)+log2(64)=3+6=9 \n" ); document.write( " \n" ); document.write( " |