List questions from logarithms

Published on 20 Aug 2018 - 22:15

113

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Evaluate $\int_0^1\ln(\frac{1+x}{1-x})dx$ using power series

Published on 21 Aug 2018 - 12:40

77

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Can someone tell me why $\log_b(c) = s \cdot \log_b(d) \implies c = d$?

Published on 21 Aug 2018 - 14:43

69

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$e^{17 + ln(7x)}$ - I'm stuck on this problem. I could really use some help

Published on 21 Aug 2018 - 15:37

57

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Prove the value of $\ln\frac{s + x}{x} - \frac{s}{(s + x)}$ is non-negative

Published on 21 Aug 2018 - 15:44

4.9k

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Why are there two different types of graph for logarithmic functions $\log_a{X}$ for different range of base,i.e., for : $0<a<1$ and $a>1$?

Published on 31 Mar 2026 - 5:22

413

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Why is $\log_a n = \frac{\log_b n}{\log_b a}$?

Published on 22 Aug 2018 - 11:31

187

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How to solve the given integral avoiding infinite series sum?

Published on 25 Mar 2026 - 16:13

176

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Solve the following equation in R : $x^{2x}=({2x})^x $

Published on 23 Aug 2018 - 0:40

1.1k

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How to prove $3^{\log_4n} = n^{\log_43}$?

Published on 23 Aug 2018 - 5:43

32

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Logarithmic aptitude

Published on 23 Aug 2018 - 16:38

86

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Analytic Solution for $x^2 - x \ln x -k = 0$ ??

Published on 24 Aug 2018 - 3:04

68

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Is there a law for summing powers of logarithms?

Published on 25 Mar 2026 - 22:26

100

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Lebesgue integrability of $\sum_{n=1}^\infty f_n(x)$, where $f_n(x):=ae^{-anx}-be^{-bnx}$

Published on 26 Mar 2026 - 20:41

284

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$\sqrt{n}$ vs $5^{\log_2n}$

Published on 27 Mar 2026 - 14:21

List Question

How to get the second solution?

Evaluate $\int_0^1\ln(\frac{1+x}{1-x})dx$ using power series

Can someone tell me why $\log_b(c) = s \cdot \log_b(d) \implies c = d$?

$e^{17 + ln(7x)}$ - I'm stuck on this problem. I could really use some help

Prove the value of $\ln\frac{s + x}{x} - \frac{s}{(s + x)}$ is non-negative

Why are there two different types of graph for logarithmic functions $\log_a{X}$ for different range of base,i.e., for : $0<a<1$ and $a>1$?

Why is $\log_a n = \frac{\log_b n}{\log_b a}$?

How to solve the given integral avoiding infinite series sum?

Solve the following equation in R : $x^{2x}=({2x})^x $

How to prove $3^{\log_4n} = n^{\log_43}$?

Logarithmic aptitude

Analytic Solution for $x^2 - x \ln x -k = 0$ ??

Is there a law for summing powers of logarithms?

Lebesgue integrability of $\sum_{n=1}^\infty f_n(x)$, where $f_n(x):=ae^{-anx}-be^{-bnx}$

$\sqrt{n}$ vs $5^{\log_2n}$

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