csat-suneung 2015 Q15

csat-suneung · South-Korea · csat__math-A 4 marks Indices and Surds Exponential Inequalities and Counting Solutions
What is the sum of all natural numbers $x$ that satisfy the exponential inequality $\left( \frac { 1 } { 5 } \right) ^ { 1 - 2 x } \leq 5 ^ { x + 4 }$? [4 points]
(1) 11
(2) 12
(3) 13
(4) 14
(5) 15
What is the sum of all natural numbers $x$ that satisfy the exponential inequality $\left( \frac { 1 } { 5 } \right) ^ { 1 - 2 x } \leq 5 ^ { x + 4 }$? [4 points]\\
(1) 11\\
(2) 12\\
(3) 13\\
(4) 14\\
(5) 15