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Branch cut rotation of the logarithm function?

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#integration #complex-analysis #logarithms #residue-calculus #branch-cuts
68
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Question about $z=-e^{\ln(n)\cdot(-x-2)+\ln(m)\cdot(x-1)}$

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#real-analysis #logarithms #exponential-function #exponentiation #real-numbers
113
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Simplify $n^{(\log_2(n)/\log_2(\log_2(n)))}$

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#algebra-precalculus #logarithms
32
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What properties does $f$ have to fulfil such that $\log f(x)$ is concave?

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#proof-writing #logarithms
40
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A logarithimic simplification

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#logarithms
35
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limit calculation using l'Hopital rule

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#calculus #limits #logarithms
131
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$\ln x\approx 2\cdot \dfrac {x-1}{x+1}$, for $x\approx 1$ , How does one show this result?

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#algebra-precalculus #logarithms #taylor-expansion
294
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How to find intersect of two continuous growth functions?

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#logarithms
366
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Holomorphic function with analytic square root but no holomorphic logarithm

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#complex-analysis #logarithms #exponential-function #examples-counterexamples
796
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Solving the logarithmic inequality $(\log_3 x)^2 \lt \log_9( x^4)$

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#inequality #logarithms
1.6k
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Log of the Moment Generating Function

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#logarithms #asymptotics #moment-generating-functions
198
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How to solve an equation with a single and nested ln

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#logarithms #exponential-function #systems-of-equations
65
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Solving equation with exponentials and addition

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#algebra-precalculus #logarithms
75
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Does $\log_1(1)$ have two solutions?

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#logarithms
158
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What are the steps in showing $3^{ \log_2 x} = x^{\log_2 3}$

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#logarithms #exponentiation

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