csat-suneung 2019 Q15

csat-suneung · South-Korea · csat__math-humanities 4 marks Laws of Logarithms Solve a Logarithmic Equation
For natural numbers $n \geq 2$, what is the sum of all values of $n$ such that $5 \log _ { n } 2$ is a natural number? [4 points]
(1) 34
(2) 38
(3) 42
(4) 46
(5) 50
For natural numbers $n \geq 2$, what is the sum of all values of $n$ such that $5 \log _ { n } 2$ is a natural number? [4 points]\\
(1) 34\\
(2) 38\\
(3) 42\\
(4) 46\\
(5) 50