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 #817938 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"7%5Ea+-+7%5E%28a-5%29+=+117642sqrt%287%29\"\r\n" );
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document.write( "\"7%5Ea+-+7%5Ea%2A7%5E%28-5%29+=+117642%287%5E%28%221%2F2%22%29%29\"\r\n" );
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document.write( "Factor out 7a\r\n" );
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document.write( "\"7%5Ea%2A%281+-+7%5E%28-5%29%29+=+117642%287%5E%28%221%2F2%22%29%29\"\r\n" );
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document.write( "Divide both sides by 71/2\r\n" );
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document.write( "\"%287%5Ea%2A%281+-+7%5E%28-5%29%29%29%2F7%5E%28%221%2F2%22%29+=+117642\"\r\n" );
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document.write( "\"%287%5Ea%2F7%5E%28%221%2F2%22%29%29%281+-+7%5E%28-5%29%29+=+117642\"\r\n" );
document.write( "\r\n" );
document.write( "\"7%5E%28a-%221%2F2%22%29%281+-+7%5E%28-5%29%29+=+117642\"\r\n" );
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document.write( "\"7%5E%28a-%221%2F2%22%29%281+-+1%5E%22%22%2F7%5E5%29+=+117642\"\r\n" );
document.write( "\r\n" );
document.write( "\"7%5E%28a-%221%2F2%22%29%281+-+1%5E%22%22%2F117642%29+=+117642\"\r\n" );
document.write( "\r\n" );
document.write( "\"7%5E%28a-%221%2F2%22%29%281+-+1%2F16807%29+=+117642\"\r\n" );
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document.write( "\"7%5E%28a-%221%2F2%22%29a%2816807%2F16807+-+1%2F16807%29+=+117642\"\r\n" );
document.write( "\r\n" );
document.write( "\"7%5E%28a-%221%2F2%22%29%2816806%2F16807%29+=+117642\"\r\n" );
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document.write( "Multiply through by 16807\r\n" );
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document.write( "\"7%5E%28a-%221%2F2%22%29%2816806%29+=+1977209094\"\r\n" );
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document.write( "Divide both sides by 16806\r\n" );
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document.write( "\"7%5E%28a-%221%2F2%22%29=117649\"\r\n" );
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document.write( "Take logs (base 10) of both sides\r\n" );
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document.write( "\"log%287%5E%28a-%221%2F2%22%29%29=log%28117649%29\"\r\n" );
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document.write( "\"%28a-1%2F2%29%2Alog%287%29=5.07058824\"\r\n" );
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document.write( "\"a-1%2F2=5.07058824%2Flog%287%29\"\r\n" );
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document.write( "\"a-1%2F2=6\"\r\n" );
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document.write( "\"a=6%2B1%2F2\"\r\n" );
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document.write( "\"a=13%2F2\"\r\n" );
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document.write( "Edwin
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