The total number of solutions (real) of equation: $2^x+3^x+4^x-5^x=0 ?$
12041
Solving an equation in $x$, in which $x$ occurs as exponent four times
95494
Number of solutions of an arithmetic function's equation
24837
$x^2+1=0$ uncountable many solutions
103274
Integer solutions to the equation $a^3+b^3+c^3=30$
20491
How to solve this equation $x^{2}=2^{x}$?
72857
Find the number of integral solutions of $2x + y + z = 20$?
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
106374
Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
70147
Solving $x^4 -10x^3 + 26x^2 -10x +1 = 0$.
69328
(USAJMO)Find the integer solutions:$ab^5+3=x^3,a^5b+3=y^3$
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
57330
Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$
148570
Find the all possible real solutions of $x^y=y^x$
54608
How to find all solutions of $4^x-3^x=1$?
99055
How find this $x^3-5x+10=2^y$
137652
How many solutions does the equation $n_1 + n_2 + n_3 + n_4 + n_5 = 20$ have in the positive integers if $n_1 < n_2 < n_3 < n_4 < n_5$?