An algebra problem by Matin Naseri

$\begin{aligned} \log_x 1024 &=10 \\ \log_x 1024 & = \log_x (x^{10}) \\ 1024 & = x^{10} \\ \end{aligned}$

$\implies x = \boxed{2}$

$\huge{\log_x1024=10}$

$\huge{x^{10}=1024}$

$\huge{x=(1024)^{\frac{1}{10}}=\boxed{2}}$