document.write( "Question 415755: 2log[base 3](x+4)-log[base 3]9=2 \n" ); document.write( "
Algebra.Com's Answer #291399 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2log[base 3](x+4)-log[base 3]9=2 \n" ); document.write( "----- \n" ); document.write( "2log3(x+4) - log3(9) = 2 \n" ); document.write( "--- \n" ); document.write( "log3[(x+4)^2/9] = 2 \n" ); document.write( "---- \n" ); document.write( "(x+4)^2/9 = 3^2 \n" ); document.write( "(x+4)^2 = 81 \n" ); document.write( "--- \n" ); document.write( "x^2+8x+16-81 = 0 \n" ); document.write( "--- \n" ); document.write( "x^2 + 8x - 55 = 0 \n" ); document.write( "--- \n" ); document.write( "x = [-8 +- sqrt(64-4*-55)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [-8 +- sqrt(284)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [-8 +- 2sqrt(71)]/2 \n" ); document.write( "--- \n" ); document.write( "x = -4+sqrt(71) or x = -4-sqrt(71) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |