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Solving $-z e^{-z} = (x-z) e^{x-z}$ with $x,z \neq 0$

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#exponential-function #lambert-w
205
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Calculation of a non-trivial integral of exponential

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#integration #exponential-function #infinite-product
89
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Does $\log\left(\frac{A}{B}\right)$ really equal to $\log(A)-\log(B)$?

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#algebra-precalculus #logarithms #exponential-function
56
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Is the natural logarithm of $a$ irrational if $a \neq 0,1$ is algebraic?

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#logarithms #exponential-function #irrational-numbers #transcendental-numbers
39
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Showing an equation with double sum of exponential expression and squared sine expression

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#analysis #trigonometry #fourier-analysis #exponential-function
56
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Why is $x^{-1}$ same as $1/x$?

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#exponential-function
30
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How to salvage this quick proof of the exponential sum law in Banach algebras

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#analysis #exponential-function #banach-algebras
43
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exponential presentation of a complex number with Sine and Cosine multipliers

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#complex-numbers #exponential-function #complex-geometry
42
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Simplification of Power Function with Rational Exponent

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#algebra-precalculus #exponential-function #rational-functions
109
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Proving my IVP for a Piecewise Decay Function (Diff Eq)

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#ordinary-differential-equations #solution-verification #exponential-function
42
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Why is there such a marked difference in the results of these half-life calculations?

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#integration #exponential-function #density-function
75
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Bounding an exponential integral by finding a function

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#real-analysis #integration #analysis #asymptotics #exponential-function
67
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I need help with this following exponential equation

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#exponential-function #exponentiation
98
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Solving $\lim_{x\to0^+}e^{1/x}\bigl(1-\sec(x)\bigr)$ algebraically

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#calculus #limits #trigonometry #exponential-function
60
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Calculating the value of this asset

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#algebra-precalculus #solution-verification #exponential-function #economics

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