document.write( "Question 868808: solve (3^2x) -[5(3^x)]=-6\r
\n" ); document.write( "\n" ); document.write( "I've tried a few different roots..nothing seems to be working out :?\r
\n" ); document.write( "\n" ); document.write( "this is what i've tried\r
\n" ); document.write( "\n" ); document.write( "log (3^2x -5(3^x)+6) =0
\n" ); document.write( "2xlog3-log5(3^x)+log6 =0
\n" ); document.write( "2xlog3-(log5+log3^x) =-log6
\n" ); document.write( "2xlog3 -log5 -xlog3 = -log6
\n" ); document.write( "x(2log3-log3) =-log6+log5
\n" ); document.write( "x =(-log6+log5)/(log3)\r
\n" ); document.write( "\n" ); document.write( "the answer is 1 and it works...\r
\n" ); document.write( "\n" ); document.write( "I tried squaring the whole equation cause there's another answer of 0.631
\n" ); document.write( "I've tried various ways...nothing's getting me anywhere.\r
\n" ); document.write( "\n" ); document.write( "a solution would be greatly appreciated. I don't need this for an assignment or test just for curiosity.\r
\n" ); document.write( "\n" ); document.write( "Thanks \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #523828 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
solve (3^2x) -[5(3^x)]=-6
\n" ); document.write( "(3^2x) + 6 = 5*3^x
\n" ); document.write( "------------
\n" ); document.write( "You can't say
\n" ); document.write( "log(3^2x) + log(6) = log(5*3^x)
\n" ); document.write( "The log of a sum is not the sum of the logs.
\n" ); document.write( "That's where you went wrong.
\n" ); document.write( "------------
\n" ); document.write( "(3^2x) -[5(3^x)]=-6
\n" ); document.write( "(3^2x) - 5(3^x) + 6 = 0
\n" ); document.write( "That cannot be solved by algebraic methods.
\n" ); document.write( "You can use a graphing calculator or iterative methods.
\n" ); document.write( "1 is a zero.
\n" ); document.write( "0.63092975357146 is the second zero.
\n" ); document.write( "
\n" ); document.write( "
\n" );