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How to find the number of solutions to this equation $\ln(x+2)=e^x-2 $?

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#algebra-precalculus #functions #inequality #logarithms #exponential-function
32
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Calculate $\int^3_0 \frac{\ln2}{2} \left(2^{x-3}-2^{3-x}\right)$

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#definite-integrals #logarithms #exponential-function #area
1.7k
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continuity of $e^{-1/z}$ in $\mathbb C$

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#complex-analysis #complex-numbers #continuity #exponential-function #uniform-continuity
255
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Integrals for rational approximations to $e^\pi$

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#definite-integrals #exponential-function #pi #diophantine-approximation
36
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Find the value of a for the intersection between these functions

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#functions #exponential-function #graphing-functions
45
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What am I doing wrongwith trigonometric manipulation in this question?

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#functions #trigonometry #exponential-function #graphing-functions
61
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Why is $(1-\frac{1}{n})^{n-k} \geq e^{-1}$?

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#inequality #exponential-function
113
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Evaluating ln and exponential integral

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#calculus #definite-integrals #exponential-function
2.5k
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Laplace Transformation of Negative exponent Real Numbers like $t^\frac{-3}{2}$

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#exponential-function #laplace-transform
462
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How can I solve $y=a^x+x$ for x?

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#exponential-function
358
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A limit to infinity: $\lim_{x \to \infty}\ (1+ {\frac{1}{x}})^{x}$

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#limits #exponential-function
128
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Time Complexity Problem

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#asymptotics #exponential-function
45
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Poisson statistics and exponential functions!

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#random-variables #exponential-function #poisson-distribution #poisson-process #poisson-geometry
181
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An almost classic inequality

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#real-analysis #inequality #exponential-function #pi
71
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Comparing $e$ with $2$ using induction

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#induction #exponential-function

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