Question

"Nonnegative area of a figure with Infinite height and $0$ base" - functions with logarithmic anti derivatives the only functions to satisfy this?

score 26 · Answer 1 · 2026-04-13 17:55:55

26

Views

"Nonnegative area of a figure with Infinite height and $0$ base" - functions with logarithmic anti derivatives the only functions to satisfy this?

Published on 13 Apr 2026 - 17:55

score 182 · Answer 2 · 2026-04-16 14:10:25

182

Views

How to prove $n = \sum_{k=0}^{\lfloor \log_2{n} \rfloor}{\left[ \left\lfloor \frac{n}{2^{k+2}} \right\rfloor + c_k \right](k+1)}$

Published on 16 Apr 2026 - 14:10

score 96 · Answer 3 · 2026-04-17 04:31:49

96

Views

Prove that $\log(x!)$ is $O(x\log x)$

Published on 17 Apr 2026 - 4:31

score 65 · Answer 4 · 2026-04-17 11:13:49

65

Views

Given: $\frac{\log_{10}z}{y-x} = \frac{\log_{10}y}{x-z} = \frac{\log_{10}x}{z-y},$ prove: a) $x^x\times y^y\times z^z =1,$ b) $x\times y \times z =1.$

Published on 17 Apr 2026 - 11:13

score 40 · Answer 5 · 2026-04-16 00:53:30

40

Views

Given that $\log_a 2 \approx 0.643, \log_a 3 \approx 1.099, and \log_a 5 \approx 1.608$, find $\log_a (120a^2)$ .

Published on 16 Apr 2026 - 0:53

score 214 · Answer 6 · 2026-04-17 06:05:59

214

Views

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Published on 17 Apr 2026 - 6:05

score 219 · Answer 7 · 2026-03-25 09:49:57

219

Views

Why $\log(1/z) = -\log(z)$ is true for $- \pi < \arg(z) < \pi $ and it's false for $0 < \arg(z) < 2 \pi$?

Published on 25 Mar 2026 - 9:49

score 263 · Answer 8 · 2026-04-15 05:20:24

263

Views

State whether $\log_23 < \log_517$.

Published on 15 Apr 2026 - 5:20

score 3.8k · Answer 9 · 2026-04-17 01:55:57

3.8k

Views

If $\log_8 3 = P$ and $\log_3 5 = Q$, express $\log_{10} 5$ in terms of $P$ and $Q$.

Published on 17 Apr 2026 - 1:55

score 59 · Answer 10 · 2026-04-16 01:20:42

59

Views

Find the function(s) satisfying $f(x/y)=f(x)-f(y)$ and $f(e)=1$ for $x>0$.

Published on 16 Apr 2026 - 1:20

score 95 · Answer 11 · 2026-03-25 17:22:55

95

Views

How to solve this logarithmic equation $\ln(x/C_1)+C_2/x=C_1/C_2$

Published on 25 Mar 2026 - 17:22

score 1000 · Answer 12 · 2026-04-16 02:47:42

1000

Views

Is $\log(\log(n)) = O(\log(n))$?

Published on 16 Apr 2026 - 2:47

score 87 · Answer 13 · 2026-03-26 22:13:23

87

Views

Find logarithm of matrix in diagonalform

Published on 26 Mar 2026 - 22:13

score 118 · Answer 14 · 2026-03-26 22:17:26

118

Views

Find $A$ such that $e^A = B$ for a diagonal-matrix $B$

Published on 26 Mar 2026 - 22:17

score 202 · Answer 15 · 2026-04-20 20:27:54

202

Views

Find an approximate equation of a table using two parameters

Published on 20 Apr 2026 - 20:27

List Question

"Nonnegative area of a figure with Infinite height and $0$ base" - functions with logarithmic anti derivatives the only functions to satisfy this?

How to prove $n = \sum_{k=0}^{\lfloor \log_2{n} \rfloor}{\left[ \left\lfloor \frac{n}{2^{k+2}} \right\rfloor + c_k \right](k+1)}$

Prove that $\log(x!)$ is $O(x\log x)$

Given: $\frac{\log_{10}z}{y-x} = \frac{\log_{10}y}{x-z} = \frac{\log_{10}x}{z-y},$ prove: a) $x^x\times y^y\times z^z =1,$ b) $x\times y \times z =1.$

Given that $\log_a 2 \approx 0.643, \log_a 3 \approx 1.099, and \log_a 5 \approx 1.608$, find $\log_a (120a^2)$ .

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Why $\log(1/z) = -\log(z)$ is true for $- \pi < \arg(z) < \pi $ and it's false for $0 < \arg(z) < 2 \pi$?

State whether $\log_23 < \log_517$.

If $\log_8 3 = P$ and $\log_3 5 = Q$, express $\log_{10} 5$ in terms of $P$ and $Q$.

Find the function(s) satisfying $f(x/y)=f(x)-f(y)$ and $f(e)=1$ for $x>0$.

How to solve this logarithmic equation $\ln(x/C_1)+C_2/x=C_1/C_2$

Is $\log(\log(n)) = O(\log(n))$?

Find logarithm of matrix in diagonalform

Find $A$ such that $e^A = B$ for a diagonal-matrix $B$

Find an approximate equation of a table using two parameters

Trending Questions

Popular # Hahtags

Popular Questions