Is this a valid proof that "$2^x = 0$ has no real solutions"
125707
A simple proof (hopefully) for $2^x \neq 0$
142642
$A=\begin{pmatrix}0&0&1\\ 0&1&0\\ 1&0&0\end{pmatrix}$, $X^2=A$ has no solutions
24307
Is $x^x=y$ solvable for $x$?
122737
How to understand why $x^0 = 1$, where $x$ is any real number?
63409
If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer
147528
Where's the error in this $2=1$ fake proof?
106374
Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
55210
Prove that the equation: $c_0+c_1x+\ldots+c_nx^n=0$ has a real solution between 0 and 1.
77763
Proof that the equation $x^2 - 3y^2 = 1$ has infinite solutions for $x$ and $y$ being integers
32985
Prove that there does not exist integer solutions for the diophantine equation $x^5 - y^2 = 4$.
7279
$|2^x-3^y|=1$ has only three natural pairs as solutions
115514
Is the product $\prod_{k=1}^\infty \frac{2^k-1}{2^k}$ necessarily $0$?
152451
REVISITED $^2$: Does a solution in $\mathbb{R}^n$ imply a solution in $\mathbb{Q}^n$?
41073
Prove $ax^2+bx+c=0$ has no rational roots if $a,b,c$ are odd
96554
Why is $x^0 = 1$ except when $x = 0$?
74229
$2x^2+3y^2=z^2$ does not have a non-zero integral solution.
36862
A question about proving that there is no greatest common divisor