Question 67
Let $a$ and $b$ be positive integers such that
$$
54^{a} = a^{b}.
$$
Show that $a$ is a power of $54$, that is, that there exists a positive integer $c$ such that $a = 54^{c}$.
$$
54^{a} = a^{b}.
$$
Show that $a$ is a power of $54$, that is, that there exists a positive integer $c$ such that $a = 54^{c}$.