New posts in Exponential Function

A conjecture about power sum : $e^{ab}+e^{bc}+e^{ca}\geq 3e^{\sqrt{abc}}$ and $a+b+c=3$

Limit of $\frac{1}{7}e^{-2x^2}(1-4x^2)$ as $x\to\infty$

For which $a$ does the equation $a^x=x+2$ have two solutions?

Proving that $f(z;\sigma)=\sum_{k\in\Bbb Z}\frac{1}{\sqrt{2\pi}\, \sigma}{\rm e}^{-\frac{(z-k)^2}{2\sigma^2}}$ converges to $1$ as $\sigma\to\infty$

The math behind Warren Buffett's famous rule – never lose money

"Natural" proof of $P\left(\frac{d}{dx}\right)\bigl(e^{xy}Q(x)\bigr)=Q\left(\frac{d}{dy}\right)\bigl(e^{xy}P(y)\bigr)$.

Prove that $(1+x)^\frac{1}{x}+(1+\frac{1}{x})^x \leq 4$

Why does the approximation for exponents $(a+b)^c \approx a^{c-bc} (a+1)^{cb}$ work?

Calculate $\lim_{n \rightarrow \infty}n^x (a_1.a_2......a_n)^{\frac{1}{n}}$.

Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$