How prove that $\log_3{5} + \log_2{5}$ is irrational?
128298
Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$
31867
Elementary proof that the limit of $\sum_{i=1}^{\infty} \frac{1}{\operatorname{lcm}(1,2,...,i)}$ is irrational
125701
Prove that $-2\log(2) = -2 + \sum_{n=1}^{\infty}\frac{1}{n(2n+1)}$
30835
Logarithm proof problem: $a^{\log_b c} = c^{\log_b a}$
129592
Prove the series $\sum_{n=1}^{\infty}\frac{1}{{5^n}^!}$ converges to an irrational number
1570
Show that log $Fib_{n}$ is $\theta(n)$
63960
proving "e" irrational using convergent series
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
132115
Verify my proof of the irrationality of $\sqrt{6}$.
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
119112
How to compare logarithms $\log_4 5$ and $\log_5 6$?
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
26109
Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
55077
prove that $2\sqrt5 +\sqrt{11}$ is irrational
109953
How to prove that $\sqrt 3$ is an irrational number?
18360
Proof that the irrational numbers are uncountable
64885
Irrational and rational sequence proof