document.write( "Question 443180: value of k for which (x-1)isa factor of (x to the power of 3-k) \n" ); document.write( "
Algebra.Com's Answer #305714 by swincher4391(1107)\"\" \"About 
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If x-1 is a factor of x^(3-k), then (x-1) = x^(3-k).
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\n" ); document.write( "x^(3-k) = (x^3 / x^k)\r
\n" ); document.write( "\n" ); document.write( "x-1 = x^3 /x^k\r
\n" ); document.write( "\n" ); document.write( "x^(k+1) - x^k = x^3\r
\n" ); document.write( "\n" ); document.write( "x^k * x - x^k = x^3
\n" ); document.write( "x^k(x-1) = x^3
\n" ); document.write( "x^k = x^3/(x-1)
\n" ); document.write( "k*ln(x) = ln(x^3)/ln(x-1)
\n" ); document.write( "k = ln(x^3) - ln(x-1) - ln(x)
\n" ); document.write( "k = 3ln(x) - ln(x-1) - ln(x)
\n" ); document.write( "k = 2ln(x) - ln(x-1)
\n" ); document.write( "k = ln ( x^2 / x-1)\r
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