document.write( "Question 1051657: Solve for x with clear steps please
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document.write( "∜(x-7)=2 \n" );
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Algebra.Com's Answer #667121 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the fourth root of (x-7) is the same as (x-7)^(1/4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation becomes (x-7)^(1/4) = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "raise both sides of the equation to the 4th power to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-7) = 2^4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get x - 7 = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 7 to both sides to get x = 23\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "confirm by replacing x with 23 in the original equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get (23 - 7)^(1/4) = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 16^(1/4) = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the same as the fourth root of 16 is equal to 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "fourth root of 16 is equal to 2 and you get 2 = 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this confirms the solution is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "((x-7)^(1/4))^4 is the same as (x-7)^(1/4*4) which is equal to (x-7)^1 which is equal to x - 7.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |