Proof the expession $\log_{12}{18}\times\log_{24}{54} + 5(\log_{12}{18}-\log_{24}{54})=1$
95784
$X = \log_{12} 18$ and $Y= \log_{24} 54$. Find $XY + 5(X - Y)$
25961
Prove: $\binom{n}{0}F_0+\binom{n}{1}F_1+\binom{n}{2}F_2+\cdots+\binom{n}{n}F_n=F_{2n}$
115799
Proving $x^{\log n} = n^{\log x}$
26449
$|G|=24$ prove that $G$ is not simple
143510
Prove that $n=\frac{5^{125}-1}{5^{25}-1}$ is a composite number
127400
Prove that ∀ n ∈ {n | n ∈ ℕ ∧ n > 7}: n = x*3 + y*5
30835
Logarithm proof problem: $a^{\log_b c} = c^{\log_b a}$
115733
Proving that $\sec\frac{\pi}{11}\sec\frac{2\pi}{11}\sec\frac{3\pi}{11}\sec\frac{4\pi}{11}\sec\frac{5\pi}{11}=32$
114872
If $ax^2-bx+c=0$ has two distinct real roots lying in the interval $(0,1)$ $a,b,c$ belongs to natural prove that $\log_5 {abc}\geq2$
46556
How to prove $3^{\log_4n} = n^{\log_43}$?
128157
Textbook clarification: $\log = \ln$
118368
number of real solution of logarithmic and exponential equation
8192
Simple proof of showing the Harmonic number $H_n = \Theta (\log n)$
128298
Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$
47790
If $x \geq 2$ prove that $\sum_{ n \leq x} \frac{1}{\phi(n)} = \mathcal{O}(\log(x))$
27511
Prove that $\lim_{x \to \infty} \frac{\log(1+e^x)}{x} = 1$
22687
Proof of the power rule for logarithms