document.write( "Question 4732: show that for t>0, log (t) is not a polynaomial. I understand what a logarithm is now but it still doesn't help me here. \n" ); document.write( "
Algebra.Com's Answer #2265 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Define f(t) = log(t) is a function. \n" ); document.write( " \n" ); document.write( " Claim: f is not a polynomial in t.\r \n" ); document.write( "\n" ); document.write( " Supppose f were not a polynomial in t of degree n. \n" ); document.write( " then the derivative f' is a polynomial in t of degree n-1.\r \n" ); document.write( "\n" ); document.write( " But, f'(t) = 1/(t ln10) (where ln is the natural logarithm) is \n" ); document.write( " not a polynomial.\r \n" ); document.write( "\n" ); document.write( " This shows f' and so f cannot be a polynomial in t.\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |