document.write( "Question 1079943: Please help not sure how to solve this equation.
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document.write( "(16^(x+2))/(64)=((1)/(64))^(3x-2) \n" );
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Algebra.Com's Answer #694178 by Theo(13342) You can put this solution on YOUR website! your solution should be x = .4545454545 which is equivalent to 5/11.\r \n" ); document.write( "\n" ); document.write( "if you graph y = 16^(x+2)/64 and y = (1/64)^(3x-2), their intersection should show you the solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph looks like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculations are messy so i'll write them manually and show you them in the following picture.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rules of logarithms used are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log(a^b) = b * log(a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log(a * b) = log(a) + log(b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log(a * b^c) = log(a) + log(b^c) = log(a) + c * log(b)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |