document.write( "Question 170139This question is from textbook intermediate algebra
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document.write( ": 90) 3^2x -8 . 3^x +15=0
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document.write( "94) If x= (log125 5)^log5 125\r
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document.write( " Please help me to solve this two. Thank You
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Algebra.Com's Answer #125575 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 90) 3^2x -8(3^x) +15=0 \n" ); document.write( "Let w = 3^x \n" ); document.write( "---- \n" ); document.write( "Rewrite the quadratic equation: \n" ); document.write( "w^2 - 8w + 15 = 0 \n" ); document.write( "(w-5)(w-3) = 0 \n" ); document.write( "w = 3 or w = 5 \n" ); document.write( "----------- \n" ); document.write( "Solve for x: \n" ); document.write( "3^x = 3 or 3^x = 5 \n" ); document.write( "x = 1 or x = [log5/log3] = 1.4649735... \n" ); document.write( "-----------------------------------------\r \n" ); document.write( "\n" ); document.write( "94) If x= (log125 5)^log5 125 \n" ); document.write( "log125 5 = log(5)/log(125) = 1/3 \n" ); document.write( "log5 125 = 3 \n" ); document.write( "------------------- \n" ); document.write( "Therefore x = (1/3)3 = 1 \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |