Question

How to check rationality, irrationality and algebraicity in this case?

score 67 · Answer 1 · 2026-03-29 04:41:45

67

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How to check rationality, irrationality and algebraicity in this case?

Published on 29 Mar 2026 - 4:41

score 114 · Answer 2 · 2026-04-01 10:29:44

114

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Derivative of $a^x$ for $a<0$

Published on 01 Apr 2026 - 10:29

score 107 · Answer 3 · 2026-03-26 04:28:33

107

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Logarithmic commission?

Published on 26 Mar 2026 - 4:28

score 455 · Answer 4 · 2019-03-27 18:36:34

455

Views

How do I find the solutions of $|x-2|^{10x^2-1}=|x-2|^{3x}$?

Published on 27 Mar 2019 - 18:36

score 78 · Answer 5 · 2019-03-28 13:11:57

78

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Logarithmic inequality problem

Published on 28 Mar 2019 - 13:11

score 74 · Answer 6 · 2019-03-29 08:21:05

74

Views

Prove that $(n+\frac{1}{2})\log(1+\frac{1}{n})-1=\frac{1}{3(2n+1)^2}+\frac{1}{5(2n+1)^4}+\cdots$

Published on 29 Mar 2019 - 8:21

score 46 · Answer 7 · 2026-04-01 10:23:22

46

Views

How can I find the intersection point between 2 transformed exponential functions?

Published on 01 Apr 2026 - 10:23

score 77 · Answer 8 · 2019-03-30 02:29:36

77

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can't evaluate integral of the form $\log \left(2+\lambda _+ P+ 2 \sqrt{\lambda _* P^2+\lambda _+ P+1}\right)$ times a fraction

Published on 30 Mar 2019 - 2:29

score 129 · Answer 9 · 2019-03-30 10:46:24

129

Views

Proving $\;\ln k \geq \int_{k-\frac{1}{2}}^{k+ \frac{1}{2}}\ln x dx$

Published on 30 Mar 2019 - 10:46

score 104 · Answer 10 · 2026-03-27 07:50:25

104

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$2 \cdot \int_0^1 \log\big(\Gamma(x)\big) \cdot \sin(2 \pi n x) dx = \frac{\gamma + \log(2 \pi) + \log(n)}{n \pi}$

Published on 27 Mar 2026 - 7:50

score 111 · Answer 11 · 2019-03-31 19:57:32

111

Views

Given that $\log_8(x+2)$ $+$ $\log_8y$ $=$ $z-\frac{1}{3}$ and $\log_2(x-2)$ $-$ $\log_2y$ = $2z+1$, Show that $x^2 = 32 ^z + 4 $

Published on 31 Mar 2019 - 19:57

score 184 · Answer 12 · 2019-04-01 06:27:42

184

Views

Solving for $n$ in $\frac{1.1^n - 1}{(0.1)1.1^n} =4.6$

Published on 01 Apr 2019 - 6:27

score 107 · Answer 13 · 2019-04-01 11:13:57

107

Views

$\log_2(2 ^{64} - 2^{32}) = 64$?

Published on 01 Apr 2019 - 11:13

score 43 · Answer 14 · 2026-03-27 01:44:42

43

Views

In a logarithmic regression, does it matter which letter is assigned to which coefficient?

Published on 27 Mar 2026 - 1:44

score 147 · Answer 15 · 2026-03-28 06:07:50

147

Views

How to solve: $20\cdot x\cdot\log_2 x=1000000$

Published on 28 Mar 2026 - 6:07

List Question

How to check rationality, irrationality and algebraicity in this case?

Derivative of $a^x$ for $a<0$

Logarithmic commission?

How do I find the solutions of $|x-2|^{10x^2-1}=|x-2|^{3x}$?

Logarithmic inequality problem

Prove that $(n+\frac{1}{2})\log(1+\frac{1}{n})-1=\frac{1}{3(2n+1)^2}+\frac{1}{5(2n+1)^4}+\cdots$

How can I find the intersection point between 2 transformed exponential functions?

can't evaluate integral of the form $\log \left(2+\lambda _+ P+ 2 \sqrt{\lambda _* P^2+\lambda _+ P+1}\right)$ times a fraction

Proving $\;\ln k \geq \int_{k-\frac{1}{2}}^{k+ \frac{1}{2}}\ln x dx$

$2 \cdot \int_0^1 \log\big(\Gamma(x)\big) \cdot \sin(2 \pi n x) dx = \frac{\gamma + \log(2 \pi) + \log(n)}{n \pi}$

Given that $\log_8(x+2)$ $+$ $\log_8y$ $=$ $z-\frac{1}{3}$ and $\log_2(x-2)$ $-$ $\log_2y$ = $2z+1$, Show that $x^2 = 32 ^z + 4 $

Solving for $n$ in $\frac{1.1^n - 1}{(0.1)1.1^n} =4.6$

$\log_2(2 ^{64} - 2^{32}) = 64$?

In a logarithmic regression, does it matter which letter is assigned to which coefficient?

How to solve: $20\cdot x\cdot\log_2 x=1000000$

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