document.write( "Question 752775: I think I have to solve it using the log functions not sure
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document.write( "the problem reads...
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document.write( "solve equation 9^(x+3)=3^(4x-2)
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document.write( "if not I got x=4
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document.write( "but that just by using guessing.
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document.write( "I need to know how I get there using logs or if I do have to use them. \n" );
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Algebra.Com's Answer #458019 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "9x+3 = 34x-2\r\n" ); document.write( "\r\n" ); document.write( "Write 9 as 32\r\n" ); document.write( "\r\n" ); document.write( "(32)x+3 = 34x-2\r\n" ); document.write( "\r\n" ); document.write( "Multiply the exponent 2 of the base 3 inside the \r\n" ); document.write( "parentheses times the exponent x+3.\r\n" ); document.write( "\r\n" ); document.write( "32(x+3) = 34x-2\r\n" ); document.write( "\r\n" ); document.write( "Since the bases are the same, 3, on both sides \r\n" ); document.write( "of the equation, the exponents must be equal:\r\n" ); document.write( "\r\n" ); document.write( "2(x+3) = 4x-2\r\n" ); document.write( " 2x+6 = 4x-2\r\n" ); document.write( " -2x = -8\r\n" ); document.write( " x = 4\r\n" ); document.write( "\r\n" ); document.write( "That's the way you get the answer 4 without\r\n" ); document.write( "guessing and checking. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |