Number of solutions of the equation $3^x+4^x=5^x$ in the set of positive real numbers
63505
Proving that $ 2 $ is the only real solution of $ 3^x+4^x=5^x $
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
156468
Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
42360
Find the number of solutions of $a_0+a_1+a_2=17$ if $2\le a_0\le 5$, $3\le a_1\le 6$, $4\le a_2\le 7$.
118368
number of real solution of logarithmic and exponential equation
112575
Finding integer solutions of $m^2-n^5 = m - n$
142725
The general solution of $x^a = a^x$ for real $a >0$
142401
Where's the problem in this equation? Resulting in $4 = 5$
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
30126
Linear Diophantine Equations in Three Variables
90519
Combinatorial proof of $\sum\limits_{k=0}^n {n \choose k}3^k=4^n$
41782
Real Solution of $4^x + 6^x = 9^x$.
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
14773
Finding distinct solutions for the equation
146491
Number of solutions of $x_1+x_2+\dots+x_k=n$ with $x_i\le r$