SOLUTION: 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.

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.
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
Define f(t) = log(t) is a function.

Claim: f is not a polynomial in t.
Supppose f were not a polynomial in t of degree n.
then the derivative f' is a polynomial in t of degree n-1.
But, f'(t) = 1/(t ln10) (where ln is the natural logarithm) is
not a polynomial.
This shows f' and so f cannot be a polynomial in t.
Kenny

RELATED QUESTIONS
Here is an example of a Trig function we are working on that I HAVE been able to solve, I (answered by Alan3354)

Construct a truth table for q ↔ (p ~q) Here is what I did not sure if it is... (answered by stanbon)

I am having a really tough time understanding how this works. My teacher explained how... (answered by josgarithmetic)

Dear Tutor, Could you please explain the procedure in solving this problem: Let... (answered by Fombitz)

I tried this problem, but the answer that I got doesn't seem right to me. Any help would... (answered by Earlsdon)

hey everyone i jus have a really quick question its probably so simple but for whatever... (answered by josmiceli)

show that the linear transformation T defined by T(x1,x2)=(-2x1+x2,3x1,3x2+1)is not... (answered by khwang)

[ I am reposting because there was a typo in my email when I posted the previous question (answered by josgarithmetic,math_tutor2020)

Please help I'm having a problem with domains. Find the domain of the following:... (answered by edjones)