List questions from logarithms

Published on 11 Apr 2026 - 1:00

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log_e approximation formula

Published on 10 Apr 2026 - 16:35

67

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Is there a basic solution to the following inequality: $\log _x\left(3\right)<\log _{x+2}\left(9\right)$

Published on 17 Apr 2026 - 8:45

822

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Various definitions for a branch of logarithm

Published on 11 Apr 2026 - 20:04

301

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Integrating $\int(\sin(\log x) + \cos(\log x)) dx$

Published on 17 Apr 2026 - 13:23

97

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How to compare power of logarithm function $\log x$ with the power of $x$?

Published on 14 Apr 2026 - 4:12

2.5k

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Prove that $\log(z_1z_2) = \log(z_1)+\log(z_2)$ for $z_1$, $z_2$ in the right half plane

Published on 17 Apr 2026 - 3:46

83

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Show that $ \lim_{x\rightarrow\infty}\frac{2^{\sqrt{\log(x)}}}{\sqrt{x}} = 0 $

Published on 17 Apr 2026 - 11:07

68

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Solve for $x$: $\log_{\frac {3}{4}}(\log_{8} (x^2+7))+\log_{\frac {1}{2}} (\log_{\frac {1}{4}} (x^2+7)^{-1})=-2$

Published on 16 Apr 2026 - 21:17

3.2k

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A tree if growing taller at continuous rate. In past 12 years it has grown from 3 meters to 15 meters.

Published on 14 Apr 2026 - 8:43

64

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Branch of (complex) logarithm.

Published on 11 Apr 2026 - 23:19

231

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Logarithmic base $10$ relative and absolute error

Published on 09 Apr 2026 - 8:31

86

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Logarithm compact definition question

Published on 11 Apr 2026 - 15:47

107

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Convergence of a series involving logs

Published on 15 Apr 2026 - 8:38

51

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Exponential function and fractions

Published on 09 Apr 2026 - 3:07

List Question

Detailed proof on the limit expression of natural logarithm

log_e approximation formula

Is there a basic solution to the following inequality: $\log _x\left(3\right)<\log _{x+2}\left(9\right)$

Various definitions for a branch of logarithm

Integrating $\int(\sin(\log x) + \cos(\log x)) dx$

How to compare power of logarithm function $\log x$ with the power of $x$?

Prove that $\log(z_1z_2) = \log(z_1)+\log(z_2)$ for $z_1$, $z_2$ in the right half plane

Show that $ \lim_{x\rightarrow\infty}\frac{2^{\sqrt{\log(x)}}}{\sqrt{x}} = 0 $

Solve for $x$: $\log_{\frac {3}{4}}(\log_{8} (x^2+7))+\log_{\frac {1}{2}} (\log_{\frac {1}{4}} (x^2+7)^{-1})=-2$

A tree if growing taller at continuous rate. In past 12 years it has grown from 3 meters to 15 meters.

Branch of (complex) logarithm.

Logarithmic base $10$ relative and absolute error

Logarithm compact definition question

Convergence of a series involving logs

Exponential function and fractions

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