turkey-yks 2020 Q21

turkey-yks · Other · yks-ayt Laws of Logarithms Solve a Logarithmic Equation
Where $n$ is an integer and $1 < n < 100$,
$$\log_2\left(\log_3 n\right)$$
the value of this expression equals a positive integer. Accordingly, what is the sum of the values that $n$ can take?
A) 36
B) 45
C) 63
D) 72
E) 90
Where $n$ is an integer and $1 < n < 100$,

$$\log_2\left(\log_3 n\right)$$

the value of this expression equals a positive integer. Accordingly, what is the sum of the values that $n$ can take?\\
A) 36\\
B) 45\\
C) 63\\
D) 72\\
E) 90