document.write( "Question 28485: solve these\r
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document.write( "2log4x-log16=1\r
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document.write( "3lnx+lnx=4\r
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document.write( "3(x)=243\r
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document.write( "e(x+4)=48 \n" );
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Algebra.Com's Answer #15495 by sdmmadam@yahoo.com(530) ![]() You can put this solution on YOUR website! solve these\r \n" ); document.write( "\n" ); document.write( "2log4x-log16=1\r \n" ); document.write( "\n" ); document.write( "3lnx+lnx=4\r \n" ); document.write( "\n" ); document.write( "3(x)=243\r \n" ); document.write( "\n" ); document.write( "e(x+4)=48\r \n" ); document.write( "\n" ); document.write( ")2log4x-log16=1 \n" ); document.write( " log[(4x)^2]-log(16) = 1 [using nlog(m) = log(m^n)] \n" ); document.write( "log(16x^2)-log(16) = 1 \n" ); document.write( "log[(16x^2)/(16)] = 1 [using loga - log b = log(a/b) ] \n" ); document.write( "log(x^2)=1 \n" ); document.write( "(x^2) = (10)^1 [using logb(N) = p implying N = (b)^p ] \n" ); document.write( "x^2 = 10 \n" ); document.write( "x=+[sqrt(10)] \n" ); document.write( "Negative sqrt cannot hold here because when you use the negative value for x, you get into a situation where you log(of a negative quantity) which is not defined.\r \n" ); document.write( "\n" ); document.write( "2)3lnx+lnx=4 \n" ); document.write( "log[(x)^3]+log(x)= 4 [using nlog(m) = log(m^n)] \n" ); document.write( "log[(x^3)X(x)]=4 [using loga + log b = log(ab)] \n" ); document.write( "log(x^4)=4 \n" ); document.write( "x^4 = 10^4 \n" ); document.write( "x=10 (powers equal imply bases equal)\r \n" ); document.write( "\n" ); document.write( "3(x)=243 this simply implies x = 243/3 = (3X81)/3 = 81 \n" ); document.write( "If the problem is 3log(x) =243 \n" ); document.write( "which means log(x) = 243/3 = 81 \n" ); document.write( "logx = 81 \n" ); document.write( "gives x = (10)^81 (quite a BIG number!)\r \n" ); document.write( "\n" ); document.write( "4)e(x+4)=48 \n" ); document.write( "(x+4) = 48/e \n" ); document.write( "x = (48/e) -4 \n" ); document.write( "This problem too may not be the correct original problem. \n" ); document.write( "Please check\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |