List questions from logarithms

Published on 21 Mar 2019 - 15:23

1.3k

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Does $d(x,y) = \log(1 + | x - y |)$ define a metric on $\mathbb{R}$?

Published on 21 Mar 2019 - 22:18

153

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Prove $\sum_{n=1}^\infty \frac{\zeta(2n+1) - 1}{(2n+1) 2^{2n}} = 1 + \ln(2) - \ln(3) - \gamma$

Published on 25 Mar 2026 - 6:13

420

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Are logarithms of prime numbers quadratically independent over $\mathbb Q$?

Published on 04 Apr 2026 - 3:53

261

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Natural logarithm with absolute value: Can I cancel the absolute value?

Published on 26 Mar 2026 - 16:26

171

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Closed form for $\int_0^1 e^{\frac{1}{\ln(x)}}dx$?

Published on 26 Mar 2026 - 16:05

331

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How to solve the following logarithmic equation?

Published on 23 Mar 2019 - 22:06

55

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Expressing $\log_{0.985} (0.1)$ only using $\ln$ and $\log_{10}$

Published on 24 Mar 2019 - 11:13

35

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How to modify this equation in order to find $x$?

Published on 24 Mar 2019 - 12:01

367

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Two-sided logarithm inequality

Published on 24 Mar 2019 - 19:54

553

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Equation $Q=kH^n$

Published on 25 Mar 2019 - 8:54

653

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Arcsine as a complex natural logarithm

Published on 25 Mar 2019 - 12:27

1.6k

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Logarithm being a multivalued function

Published on 27 Mar 2026 - 17:02

933

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Why does the derivative of an exponential function depend inherently upon the natural logarithm?

Published on 30 Mar 2026 - 22:40

61

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Prove $f^{\log_a g}=g^{\log_a f}$

Published on 01 Apr 2026 - 10:29

List Question

argument of log (z) for different branches

Does $d(x,y) = \log(1 + | x - y |)$ define a metric on $\mathbb{R}$?

Prove $\sum_{n=1}^\infty \frac{\zeta(2n+1) - 1}{(2n+1) 2^{2n}} = 1 + \ln(2) - \ln(3) - \gamma$

Are logarithms of prime numbers quadratically independent over $\mathbb Q$?

Natural logarithm with absolute value: Can I cancel the absolute value?

Closed form for $\int_0^1 e^{\frac{1}{\ln(x)}}dx$?

How to solve the following logarithmic equation?

Expressing $\log_{0.985} (0.1)$ only using $\ln$ and $\log_{10}$

How to modify this equation in order to find $x$?

Two-sided logarithm inequality

Equation $Q=kH^n$

Arcsine as a complex natural logarithm

Logarithm being a multivalued function

Why does the derivative of an exponential function depend inherently upon the natural logarithm?

Prove $f^{\log_a g}=g^{\log_a f}$

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