document.write( "Question 1204792: Find the value of a if 7^a -7^a-5 = 117642√7 \n" ); document.write( "

Algebra.Com's Answer #841289 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "Find the value of a if 7^a -7^a-5 = 117642√7
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document.write( "Your starting equation is this\r\n" );
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document.write( "     -  = .\r\n" );
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document.write( "Factor left side by taking the factor   out parentheses.\r\n" );
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document.write( "You will get an EQUIVALENT equation\r\n" );
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document.write( "      = .\r\n" );
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document.write( "It is the same as \r\n" );
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document.write( "     = .\r\n" );
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document.write( "Divide both sides by integer number 16806.\r\n" );
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document.write( "Notice that 117642 : 16806 = 7  with no remainder.\r\n" );
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document.write( "After dividing (canceling common factor 16806), you have\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From it, you conclude that  a-5 = 1.5  (it is seen even by unarmed eye).\r\n" );
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document.write( "So, the ANSWER is : a = 5 + 1.5 = 6.5.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This solution is short and straightforward.\r
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