document.write( "Question 868808: solve (3^2x) -[5(3^x)]=-6\r
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document.write( "I've tried a few different roots..nothing seems to be working out :?\r
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document.write( "this is what i've tried\r
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document.write( "log (3^2x -5(3^x)+6) =0
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document.write( "2xlog3-log5(3^x)+log6 =0
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document.write( "2xlog3-(log5+log3^x) =-log6
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document.write( "2xlog3 -log5 -xlog3 = -log6
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document.write( "x(2log3-log3) =-log6+log5
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document.write( "x =(-log6+log5)/(log3)\r
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document.write( "the answer is 1 and it works...\r
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document.write( "I tried squaring the whole equation cause there's another answer of 0.631
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document.write( "I've tried various ways...nothing's getting me anywhere.\r
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document.write( "a solution would be greatly appreciated. I don't need this for an assignment or test just for curiosity.\r
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document.write( "Thanks \r
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Algebra.Com's Answer #523828 by Alan3354(69443)![]() ![]() 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( " |