Question 23Two distinct numbers $a$ and $b$ are chosen randomly from the set $\{2, 2^2, 2^3, \ldots, 2^{25}\}.$ What is the probability that $\log_a b$ is an integer?$\dfrac{2}{25}$$\dfrac{31}{300}$$\dfrac{13}{100}$$\dfrac{7}{50}$$\dfrac{1}{2}$