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Is there a general way to find a $f(x)$ such that $f(x+1)/f(x)=2,~f(0)=A$?

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#algebra-precalculus #exponential-function
335
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Is it possible to solve $x\ln(x) + \ln(x) + ax = b$ analytically with the Lambert W function?

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#logarithms #exponential-function #lambert-w
129
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summation of $e^{(f(x))}$

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#summation #exponential-function
102
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Solving $x = \left(\frac{ab}{cd}\right)^{0.68}$ for $a$.

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#exponential-function #fractions
36
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Moment generation function expanded

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#random-variables #power-series #exponential-function #moment-generating-functions
134
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How to solve for t in a exponential polynomial function

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#exponential-function #problem-solving #exponential-sum
952
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Solving $ax=e^{bx}$

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#calculus #exponential-function #inverse-function
283
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Solving recursive inequality involving binomial coefficients.

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#inequality #recurrence-relations #binomial-coefficients #exponential-function #binomial-theorem
64
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What are the coefficients $a_n$ if $\sum_{n\geq1}\frac{a_n}{z^n-1}=e^{-z}$

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#sequences-and-series #exponential-function
77
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How does exp(x) keep showing up in mathematics

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#functions #exponential-function
613
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Why does $\lim\limits_{x\to\infty}(x!)^{1/x}\neq 1?$

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#calculus #limits #exponential-function #factorial
108
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A Close formula.

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#real-analysis #functions #power-series #exponential-function
162
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Prove that $f(z) = e^z$ maps $\mathbb{C} \setminus B $ onto $\mathbb{C} \setminus \{0\}$.

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#complex-analysis #exponential-function
114
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How to solve the equation of following form

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#exponential-function #lambert-w
130
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About the integral $\int_\mathbb{R} e^{-x^2 -(x-\xi)^2}\,dx$

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#integration #partial-differential-equations #improper-integrals #exponential-function #convolution

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