How do I prove that $a^{\log_a(b)}=b$?
133614
Why is $x^{\log_x n}=n$?
20863
how do I prove this inequallity?
38636
A basic question about exponentiation: when is $a^{xy}=(a^x)^y$?
55018
Prove that $A^*A + I$ is invertible
1840
How can I prove that $\log^k(n) = O(n^\epsilon)$?
98855
Prove $aba^{-1}b^{-1}\in{N}$ for all $a,b$
71586
Compare $\log_34$ and $2^\frac 1 4$
145397
How to prove that for every $i$, $a_i = i$
78736
Check my proof that $(ab)^{-1} = b^{-1} a^{-1}$
122971
how to prove that $\ln(1+x)< x$
137609
Proving $\lim_{n\rightarrow\infty} n(2^{1/n} - 1) = \log 2$
157898
Showing that $\sum_{i=1}^n \frac{1}{i} \geq \log{n}$
68705
Prove that $A\ge0, B\ge0$ and $A\ge B$ implies $B^{-1}\ge A^{-1}$
32762
Proof for: $(a+b)^{p} \equiv a^p + b^p \pmod p$
152039
Prove that $a^{2^n}=1 \mod 2^{n+2}$
149758
How to prove $\log n < n$?
22486
What does $\log^{2}{x}$ mean?