document.write( "Question 458375: I need help solving these problems.\r
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Algebra.Com's Answer #314453 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 2log3(x)-log3(x-4)=2+log3(2) \n" ); document.write( "(1/2)log (4x+5)= log x \n" ); document.write( ".. \n" ); document.write( "2log3(x)-log3(x-4)=2+log3(2) \n" ); document.write( "2log3(x)-log3(x-4)-log3(2)=2 \n" ); document.write( "2log3(x)-(log3(x-4)+log3(2))=2 \n" ); document.write( "place under single log \n" ); document.write( "log3[x^2/(x-4)(2)]=2 \n" ); document.write( "convert to exponential form (base(3) raised to log of number(2)=number[x^2/(x-4)(2)] \n" ); document.write( "3^2=x^2/(x-4)(2)=9 \n" ); document.write( "x^2/(2x-8)=9 \n" ); document.write( "x^2=18x-72 \n" ); document.write( "x^2-18x+72=0 \n" ); document.write( "(x-9)(x-8)=0 \n" ); document.write( "x=9 \n" ); document.write( "or \n" ); document.write( "x=8 \n" ); document.write( "... \n" ); document.write( "(1/2)log (4x+5)= log x \n" ); document.write( "(1/2)log (4x+5)- log x=0 \n" ); document.write( "log[(4x+5)^1/2/x]=0 \n" ); document.write( "10^0=(4x+5)^1/2/x=1 \n" ); document.write( "(4x+5)^1/2=x \n" ); document.write( "square both sides \n" ); document.write( "4x+5=x^2 \n" ); document.write( "x^2-4x-5=0 \n" ); document.write( "(x-5)(x+1)=0 \n" ); document.write( "x=5 \n" ); document.write( "or \n" ); document.write( "x=-1 (reject, ( x>0) \n" ); document.write( " |