Finding all natural number solutions to $2^{\lceil \log_2(3^x) \rceil} = 3^x + 1$
7279
$|2^x-3^y|=1$ has only three natural pairs as solutions
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
118368
number of real solution of logarithmic and exponential equation
133925
Find All Solutions to System of Congruence
95494
Number of solutions of an arithmetic function's equation
72402
Summation of natural number set with power of $m$
80058
Three variable, third degree Diophantine equation
81371
Solving recurrence $T(n) = T(\lceil n/2 \rceil) + T(\lfloor n/2 \rfloor) + \Theta(n)$
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
30835
Logarithm proof problem: $a^{\log_b c} = c^{\log_b a}$
103274
Integer solutions to the equation $a^3+b^3+c^3=30$
28594
Number of integer solutions of the following equation
115799
Proving $x^{\log n} = n^{\log x}$
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
55100
The positive integer solutions for $2^a+3^b=5^c$
140143
Find $n$ satisfying the equation $[\log_21]+[\log_22]+[\log_23]+\dots[\log_2n]=1538 $
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$