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Checking where $\log_e(z^5+1)$ is analytic

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#complex-analysis #analysis #logarithms
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$\log_{4n} 40\sqrt{3} = \log_{3n} 45$, find $n^3$.

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#logarithms
105
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What will be the integral of this natural log function?

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#integration #definite-integrals #logarithms
50
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Find the Minimum of $x-y$

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#logarithms
4.5k
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"Proof" that $\log2=0$ using the expansion of $\log(1+x)$

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#logarithms #taylor-expansion #fake-proofs
3.5k
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What is $\int_0^1 \frac{\log \left(1-x^2\right) \sin ^{-1}(x)^2}{x^2} \, dx$?

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#integration #definite-integrals #logarithms #closed-form
6.8k
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Asymptotics of $\sum\limits_{i=1}^n i\log i$

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#summation #logarithms #asymptotics #factorial
31
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Solving for a variable using a logarithm with a base not 10?

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#logarithms
782
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How to find the domain of long log functions?

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#functions #logarithms
105
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Solve $z^{i+1}=4 $

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#complex-analysis #complex-numbers #logarithms #exponential-function
154
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Stuck on solving $\log x - 1 > \frac{2}{\log x}$

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#inequality #logarithms
33
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A unique solution to $\log_2\prod_{a=1}^{a=C} (3+1/{M_a} ) \in \mathbb{Z}, C \in \mathbb{Z}, M_a \rm{~is~odd}, M_i \ne M_j$

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#number-theory #proof-writing #logarithms
119
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How are the bounds of the natural logarithm function determined?

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#real-analysis #logarithms
132
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Prove that the sum of series $\sum_{k=0}^{\infty}\frac{k!}{(2k+2)!!}$ is equal to $\log 2$

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#sequences-and-series #logarithms
104
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Compute the limit of $1 - n \ln \left(\dfrac{2n + 1}{2n - 1}\right)$

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#limits #convergence-divergence #logarithms #absolute-convergence

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