document.write( "Question 999351: Find the exact solution to the exponential equation 2000=20(3)^(2x). (Do not give a decimal approximation.)\r
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document.write( "x=?????????
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document.write( "Thanks!\r
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Algebra.Com's Answer #617026 by fractalier(6550) You can put this solution on YOUR website! From \n" ); document.write( "2000=20(3)^(2x) \n" ); document.write( "we divide by 20 first... \n" ); document.write( "100 = 3^(2x) \n" ); document.write( "then take log-to-the-base-three \n" ); document.write( "log(3)100 = 2x \n" ); document.write( "and divide by 2, so that \n" ); document.write( "x = (1/2)log(3)100 \n" ); document.write( " |