Solve for x log base x of 1024=5

Rewrite ${\displaystyle {\log }_x\left(1024\right)=5}$ in exponential form using the definition of a logarithm. If ${\displaystyle x}$ and ${\displaystyle b}$ are positive real numbers and ${\displaystyle b}$${\displaystyle \ne }$${\displaystyle 1}$, then ${\displaystyle {\log }_b\left(x\right)=y}$ is equivalent to ${\displaystyle b^y=x}$.

Verify each of the solutions by substituting them into ${\displaystyle {\log }_x\left(1024\right)=5}$ and solving.