document.write( "Question 1070042: Use the properties of exponential and logarithmic functions to solve each
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Algebra.Com's Answer #685133 by Edwin McCravy(20060)\"\" \"About 
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\"system%28log%282%2C%28x-2y%29%29+=+3%2Clog%282%2C%28x%2By%29%29+=+log%282%2C%288%29%29%29\"
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document.write( "For the first equation, we use the definition of logarithm \r\n" );
document.write( "which states:\r\n" );
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document.write( "the logarithm equation \"log%28B%2CA%29=C\" is equivalent to\r\n" );
document.write( "the exponential equation \"A=B%5EC\"  \r\n" );
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document.write( "The first equation \"log%282%2C%28x-2y%29%29+=+3\" is equivalent to \"x-2y=2%5E3\"\r\n" );
document.write( "and since 23=8, \r\n" );
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document.write( "\"x-2y=8\"\r\n" );
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document.write( "For the second equation we use the principle:\r\n" );
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document.write( "If \"log%28B%2C%28P%29%29=log%28B%2C%28Q%29%29\" then  \"P=Q\"\r\n" );
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document.write( "So the second equation becomes \"x%2By=8\"\r\n" );
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document.write( "So now we have the system of equations:\r\n" );
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document.write( "\"system%28x-2y=8%2Cx%2By=8%29\"\r\n" );
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document.write( "which you can solve by substitution or elimination/addition.\r\n" );
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document.write( "Answer:  (x,y) = (8,0)\r\n" );
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document.write( "Edwin
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