turkey-yks 2019 Q14

turkey-yks · Other · yks-ayt Laws of Logarithms Solve a Logarithmic Equation
Let x be an integer greater than 1.
  • $\frac { 64 } { \mathrm { x } }$ is an integer,
  • $\frac { \ln 64 } { \ln x }$ is not an integer.

Accordingly, what is the sum of the values that x can take?
A) 40
B) 42
C) 48
D) 54
E) 56
Let x be an integer greater than 1.

\begin{itemize}
  \item $\frac { 64 } { \mathrm { x } }$ is an integer,
  \item $\frac { \ln 64 } { \ln x }$ is not an integer.
\end{itemize}

Accordingly, what is the sum of the values that x can take?\\
A) 40\\
B) 42\\
C) 48\\
D) 54\\
E) 56