document.write( "Question 1194342: Given:
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Algebra.Com's Answer #826595 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "You are given two equations (system of two equations)\r\n" );
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document.write( "     = 5        (1)\r\n" );
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document.write( "     = y        (2)\r\n" );
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document.write( "Divide equation (1) by equation (2).  You will get\r\n" );
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document.write( "     = .      (3)\r\n" );
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document.write( "Apply the change-of-base formula for logarithms to the left side of equation (3).  Instead of equation (3), you will get then\r\n" );
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document.write( "     = .      (4)\r\n" );
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document.write( "It means that\r\n" );
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document.write( "    x = y^(5/y).        (5)\r\n" );
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document.write( "It is the sough expression of x via y,  with parameter  \"a\"  .\r\n" );
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document.write( "Expression (5) is your answer.   It allows calculate the value of x for any given positive value of y.\r\n" );
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document.write( "    (1)  The problem is  .\r\n" );
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document.write( "         It asks  \" Find the value of x. \"\r\n" );
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document.write( "         But in this problem, there is no a unique single specific \"value of x\"\r\n" );
document.write( "            and,  THEREFORE,  there  is  NOTHING  to  FIND  in this sense.\r\n" );
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document.write( "         There are infinitely many values x and y satisfying given equations.\r\n" );
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document.write( "    (2)  The correct formulation of the problem should be\r\n" );
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document.write( "            +--------------------------------------------------+\r\n" );
document.write( "            |    Exclude parameter \"a\" from given equations    |\r\n" );
document.write( "            |         and express x as a function of y.        |\r\n" );
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document.write( "         It was EXACTLY what I did in my solution.\r\n" );
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