document.write( "Question 733342: 32^(4x-1) = 16^(3x)\r
\n" ); document.write( "\n" ); document.write( "Trying to help my son with his algebra 11 homework. I have no idea about this one. Help! \n" ); document.write( "
Algebra.Com's Answer #448362 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "324x-1 = 163x\r\n" );
document.write( "\r\n" );
document.write( "32 = 4·8 = (2·2)·(2·4) = (2·2)·(2·2·2) = 2·2·2·2·2 = 25\r\n" );
document.write( "\r\n" );
document.write( "16 = 4·4 = (2·2)·(2·2) = 2·2·2·2 = 24\r\n" );
document.write( "\r\n" );
document.write( "So we replace 32 with (25) and 16 with (24):\r\n" );
document.write( "\r\n" );
document.write( "(25)4x-1 = (24)3x\r\n" );
document.write( "\r\n" );
document.write( "We remove the parentheses by multiplying the exponents:\r\n" );
document.write( "\r\n" );
document.write( "220x-5 = 212x\r\n" );
document.write( "\r\n" );
document.write( "Since the bases are the same on both sides, and they are positive and\r\n" );
document.write( "not equal to 1, we can set the exponents equal to each other:\r\n" );
document.write( "\r\n" );
document.write( "20x - 5 = 12x\r\n" );
document.write( "     8x = 5\r\n" );
document.write( "      x = \"5%2F8\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );