Find the values of $x$ where $x \in R $ which satisfy the equation: $2^x+5^x=3^x+4^x$ other than $x=0, 1.$
60041
Number of real roots of $3^x+4^x=2^x+5^x$ with proof
83634
Find $\lim_{n\to \infty}\sqrt[n]{3^n+5^n}$
94217
Solve the equation $x^n=a$ in a finite field
119109
Integer solutions to $ n^2 + 1 = 2 \times 5^m$
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
67015
Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.
114185
Existence of $x$ such that $2^x =a,3^x=b,5^x=c$ for some integers $a,b,c$
88189
Finding all integer solutions of $5^x+7^y=2^z$
22087
Find all real numbers x such that $ |5x-1| ≤ |3x-2|$
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
96875
Finding the value of $x^{x^2}+x^{x^6}$ given that $x^{x^4}=4$
56803
Finding solutions to congruence equations
14773
Finding distinct solutions for the equation
148570
Find the all possible real solutions of $x^y=y^x$
89319
How can I find all the solutions of $\sin^5x+\cos^3x=1$
116277
real values of $x$ in $\sqrt{5-x} = 5-x^2$.