document.write( "Question 1186981: find the value of a if 7^a - 7^a-5 = 117642 sqrt 7 \n" ); document.write( "

Algebra.Com's Answer #817937 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "find the value of a if 7^a - 7^(a-5) = 117642 sqrt 7
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document.write( "The starting equation\r\n" );
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document.write( "     = \r\n" );
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document.write( "is EQUIVALENT to\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "       = ,\r\n" );
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document.write( "and then, canceling the common factor  16806 in both sides\r\n" );
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document.write( "     = .\r\n" );
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document.write( "It implies  \r\n" );
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document.write( "    a - 5 = ,\r\n" );
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document.write( "hence\r\n" );
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document.write( "    a = 5 +  = 6  = 6.5.    ANSWER\r\n" );
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