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Explanation of proof of logarithm power rule

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#algebra-precalculus #logarithms #proof-explanation
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The deep reason why $\int \frac{1}{x}\operatorname{d}x$ is a transcendental function ($\log$)

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#calculus #real-analysis #logarithms #indefinite-integrals
246
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How to solve $x=n\ln(1 + \frac{x}{n})-\ln(1+\frac{x}{n})$?

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#logarithms #lambert-w
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Lower and upper bound on $\sum_i \log\frac{N}{x_i}$ with $\sum_i x_i = N$

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#inequality #proof-verification #logarithms
91
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How to find a variable, within an exponential, in a sum series

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#sequences-and-series #logarithms #exponential-function
64
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Inverse logarithms

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#logarithms #inverse
38
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How to solve this logarithmic function

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#logarithms
115
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How can I determine the smallest number with this property efficiently?

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#number-theory #logarithms #decimal-expansion
224
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Convergence of series: $\log\left(1 + \frac1{n\sqrt{n}}\right )$

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#sequences-and-series #logarithms
79
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The following equation to solve.$\ln(\sin x)-|x|+1=0$

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#trigonometry #logarithms
220
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Determining if a sequence converges with a logarithm in the denominator?

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#sequences-and-series #convergence-divergence #logarithms
57
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Is there any tip to solve equations involving the exponential and logarithms?

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#calculus #logarithms #exponential-function #problem-solving
117
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Limits of functions involving exponentials and logarithms

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#limits #logarithms #exponential-function
1.7k
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On irrationality of natural logarithm

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#logarithms
75
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Logarithm properties in fields in general

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#field-theory #logarithms

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