For what $n$ does $[\log_21]+[\log_22]+[\log_23]+\dotsb+[\log_2n] = 1538$?
140143
Find $n$ satisfying the equation $[\log_21]+[\log_22]+[\log_23]+\dots[\log_2n]=1538 $
44864
Prove, formally that: $\log_2 n! \ge n$ , for all integers $n>3$.
50515
Solving a recurrence relation: $T(n^6) = 9T(n^{\frac{1}{6}}) + \log^2(n)$
17453
What is sum of $\sum_{x=1}^n x \log (x)$
98570
Prove whether $f(n)$ is $O$, $o$, $\Omega$, $\omega$ or $\Theta$ of $g(n)$. $f(n) = n + (\log n)^{2}$, $g(n) = n + \log(n^{2})$.
60385
How to solve this sequence $165,195,255,285,345,x$
119524
For $n \in \mathbb{N}$ $\lfloor{\sqrt{n} + \sqrt{n+1}\rfloor} = \lfloor{\sqrt{4n+2}\rfloor}$
59987
Power rule for Logarithms
150991
What is the order of the sum of log x?
48838
Proving the number of $n$ length binary strings with no consecutive $1's$ $b_n$ is equal to $b_{n-1} + b_{n-2}$
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
148796
Calculating $\tau(n)$, the number of positive divisors of $n \in \mathbb N$
81997
Evaluating $\lim_{n\to \infty}\frac1{2n}\log\left({2n \choose n}\right)$
12910
For the Fibonacci numbers, show for all $n$: $F_1^2+F_2^2+\dots+F_n^2=F_nF_{n+1}$
57611
How does Knuth's algorithm for calculating logarithm work?
22486
What does $\log^{2}{x}$ mean?
31911
Is $\sum_{n=1}^{\infty}\frac{(\log\log2)^n}{n!}>\frac{3}{5}$