document.write( "Question 142461: Hello all! Can someone please help me ASAP! \r
\n" ); document.write( "\n" ); document.write( "Condense the following...\r
\n" ); document.write( "\n" ); document.write( "log3 2x+3 log3 4x ( the 3 next to first log is supposed to be next to it but is a subscript same with 3 after the 2nd log) \r
\n" ); document.write( "\n" ); document.write( "ln 72x-2 ln 2y\r
\n" ); document.write( "\n" ); document.write( "Solve the following Equations...\r
\n" ); document.write( "\n" ); document.write( "9^(x+2)=(1/27)^(x+12)\r
\n" ); document.write( "\n" ); document.write( "27^(2x+4)=(1/9)^(x-46)
\n" ); document.write( "

Algebra.Com's Answer #103694 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
log3 (2x+3) log3 (4x) ( the 3 next to first log is supposed to be next to it but is a subscript same with 3 after the 2nd log)
\n" ); document.write( "= log3 [(2x+3)(4x)]
\n" ); document.write( "= log3 [4x^2+12x]
\n" ); document.write( "---------------------------
\n" ); document.write( "ln 72x - 2ln 2y
\n" ); document.write( "=ln(72x) - ln(2y)^2
\n" ); document.write( "=ln(72x) - ln(4y^2)
\n" ); document.write( "=ln[72x/4y^2]
\n" ); document.write( "= ln[18x/y^2]
\n" ); document.write( "-----------------------------
\n" ); document.write( "Solve the following Equations...
\n" ); document.write( "9^(x+2)=(1/27)^(x+12)
\n" ); document.write( "(3^2)^(x+2) = (3^-3)^(x+12)
\n" ); document.write( "3^(2x+4) = 3^(-3x-36)
\n" ); document.write( "2x+4 = -3x-36
\n" ); document.write( "5x = -40
\n" ); document.write( "x = -8
\n" ); document.write( "---------------
\n" ); document.write( "27^(2x+4)=(1/9)^(x-46)
\n" ); document.write( "(3^2)^(2x+4) = (3^-2)^(x-46)
\n" ); document.write( "3^(2x+8) = 3^(-2x+92)
\n" ); document.write( "2x+8 = -2x+92
\n" ); document.write( "4x = 84
\n" ); document.write( "x = 21
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );