document.write( "Question 227316: 1.1(2.6)^2x = 6(4.4)^x\r
\n" ); document.write( "\n" ); document.write( "I have to solve for x and I need the exact solution, not a decimal.\r
\n" ); document.write( "\n" ); document.write( "I am getting really frustrated because everytime I try something, it leads me to a dead end. Please help?
\n" ); document.write( "

Algebra.Com's Answer #168957 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
\"1.1%282.6%29%5E%282x%29+=+6%284.4%29%5Ex\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Take the ln of each side:
\n" ); document.write( "\"+ln%281.1%282.6%29%5E%282x%29%29+=+ln%286%284.4%29%5Ex%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+ln%281.1%29+%2B+ln%282.6%29%5E%282x%29+=+ln%286%29%2Bln%284.4%29%5Ex+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+ln%281.1%29+%2B+2x%2Aln%282.6%29+=+ln%286%29%2Bx%2Aln%284.4%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Get the x terms on the right side, and the NON-x terms on the left side:
\n" ); document.write( "\"2x%2Aln%282.6%29-x%2Aln%284.4%29=+ln%286%29-ln%281.1%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Factor out the x on the left side:
\n" ); document.write( "\"x%282%2Aln%282.6%29+-+ln%284.4%29%29+=+ln%286%29+-ln%281.1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide both sides by \"2%2Aln%282.6%29+-+ln%284.4%29\":\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=+%28ln%286%29-ln%284.4%29%29%2F%282%2Aln%282.6%29+-+ln%284.4%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "R^2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College of Florida
\n" ); document.write( "Altamonte Springs Campus
\n" ); document.write( "
\n" ); document.write( "
\n" );