1. The problem asks to verify if $\log 22 = (\log 2)^2$ is true or false. 2. Recall the properties of logarithms: $\log(ab) = \log a + \log b$ and $\log(a^b) = b \log a$. 3. $\log 22$ means the logarithm of 22, which is not equal to the square of $\log 2$. 4. Specifically, $(\log 2)^2$ means $\log 2$ multiplied by itself, which is different from $\log 22$. 5. Since $22 \neq 2^2 = 4$, $\log 22 \neq (\log 2)^2$. 6. Therefore, the statement is False.