document.write( "Question 71580: 2log based 3 (x+4)- log base 3 9=2 \n" ); document.write( "
Algebra.Com's Answer #51193 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2log(base 3) (x+4)- log(base 3) 9=2 \n" ); document.write( "Keep \"base 3\" in mind: \n" ); document.write( "log(x+4)^2 - log9 = 2 \n" ); document.write( "log[((x+4)^2)/9)] =2 \n" ); document.write( "Now use the fact that it is \"base 3\": \n" ); document.write( "(x+4)^2 / 9 = 3^2 \n" ); document.write( "(x+4)^2 = 81 \n" ); document.write( "x+4 = 9 or x+4 = -9 \n" ); document.write( "x = 5 or x=-13 \n" ); document.write( "Only x=9 is a real solution:the other is extraneous. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |