Prove that the product of the roots of $x^{\log_{2016}x}*\sqrt{2016}=x^{2016}$ is a Natural Number
61374
The product of the two roots of $\sqrt{2014}x^{\log_{2014} x}=x^{2014}$ is an integer. Find its units digit
22687
Proof of the power rule for logarithms
118471
Prove that $1-\sum_{i=1}^n a_i < \prod_{i=1}^n(1-a_i) $
12020
Prove $\sqrt{n+1}-\sqrt{n}\lt \frac{1}{2\sqrt{n}}$
49750
Proof of the square root inequality $2\sqrt{n+1}-2\sqrt{n}<\frac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1}$
149889
Prove that $|\log(1 + x^2) - \log(1 + y^2)| \le |x-y|$
75329
Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$
21151
$\log(n)$ is what power of $n$?
1840
How can I prove that $\log^k(n) = O(n^\epsilon)$?
104688
How can I prove that $x-{x^2\over2}<\ln(1+x)$
17453
What is sum of $\sum_{x=1}^n x \log (x)$
106011
Proving it has all real roots
39082
Proving $x^\alpha-\alpha x \le 1- \alpha $
85186
Basic demonstration concerning the natural logarithm...
25788
Prove that $i^i$ is a real number
63689
proving roots of equation $x^2+x+4f=0$ are real.
139718
Prove $6 \nmid [\left( \sqrt[3]{28} - 3 \right)^{-n}]$