List questions from logarithms

Published on 14 Nov 2014 - 15:17

76

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The limit of $ m\int_{a}^{1/m} \frac{dx}{x}=0 $ and $ m\int_{a}^{\infty} \frac{dx}{x^{1+m}}=0$ as $m\to0$

Published on 04 Apr 2026 - 14:51

153

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Simplify $\log(\sinh z)$ when $|z|$ tends to $0$?

Published on 16 Nov 2014 - 4:41

76

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Calculate the following integral: $\int \sqrt[3]{1+x\ln{x}} \cdot (1+\ln{x}) dx$

Published on 30 Mar 2026 - 6:12

246

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Finding $\int_0^{\pi/4}\sqrt{1+\left( \tan x\right)^2}dx$

Published on 16 Nov 2014 - 16:44

89

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Induction of factorial

Published on 06 Apr 2026 - 12:14

83

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Is this identity correct?

Published on 11 Apr 2026 - 2:53

26

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limit of a sequence of iterated logarithms

Published on 11 Apr 2026 - 23:27

116

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Logarithm as a limit of a decreasing sequence

Published on 11 Apr 2026 - 0:39

111

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Solve the following exponential equation

Published on 05 Apr 2026 - 19:01

1.2k

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Logarithmic Equation: Solve for $x$

Published on 18 Nov 2014 - 17:47

285

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How to solve the following equation? $\log_3\big(\log_x(\log_416)\big)=-1$.

Published on 18 Nov 2014 - 18:32

1k

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Write the expression in terms of $\log x$ and $\log y$.

Published on 18 Nov 2014 - 23:02

225

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How to find the value of N in a logarithmic series

Published on 19 Nov 2014 - 8:53

68

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How to compute $\lim_{x \rightarrow \infty}\dfrac{\ln(1+e^{\alpha x})}{\ln(1+e^{\beta x})}$?

Published on 19 Nov 2014 - 18:56

List Question

Adjusting the steepness of a curve

The limit of $ m\int_{a}^{1/m} \frac{dx}{x}=0 $ and $ m\int_{a}^{\infty} \frac{dx}{x^{1+m}}=0$ as $m\to0$

Simplify $\log(\sinh z)$ when $|z|$ tends to $0$?

Calculate the following integral: $\int \sqrt[3]{1+x\ln{x}} \cdot (1+\ln{x}) dx$

Finding $\int_0^{\pi/4}\sqrt{1+\left( \tan x\right)^2}dx$

Induction of factorial

Is this identity correct?

limit of a sequence of iterated logarithms

Logarithm as a limit of a decreasing sequence

Solve the following exponential equation

Logarithmic Equation: Solve for $x$

How to solve the following equation? $\log_3\big(\log_x(\log_416)\big)=-1$.

Write the expression in terms of $\log x$ and $\log y$.

How to find the value of N in a logarithmic series

How to compute $\lim_{x \rightarrow \infty}\dfrac{\ln(1+e^{\alpha x})}{\ln(1+e^{\beta x})}$?

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