document.write( "Question 830431: Solve
\n" ); document.write( "log₆x = 1 - log₆(x-5)\r
\n" ); document.write( "\n" ); document.write( "Thank you!!! \n" ); document.write( "
Algebra.Com's Answer #500613 by stanbon(75887)\"\" \"About 
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Solve
\n" ); document.write( "log₆x = 1 - log₆(x-5)
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\n" ); document.write( "log6(x) = 1 - log6(x-5)
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\n" ); document.write( "log6(x)+log6(x-5) = 1
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\n" ); document.write( "log6[x(x-5)] = 1
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\n" ); document.write( "log6[x^2-5x] = 1
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\n" ); document.write( "x^2 - 5x = 6
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\n" ); document.write( "x^2 - 5x - 6 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-2)(x-3) = 0
\n" ); document.write( "x = 2 or x = 3
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\n" ); document.write( "Notice: If x = 2 or x = 3, x-5 in the original problem would be negative.
\n" ); document.write( "There is no log of a negative number
\n" ); document.write( "Answer to your problem:: No solution.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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