csat-suneung 2007 Q13

csat-suneung · South-Korea · csat__math-humanities 4 marks Laws of Logarithms Verify Truth of Logarithmic Statements
For an integer $n$, two sets $A ( n ) , B ( n )$ are defined as $$\begin{aligned} & A ( n ) = \left\{ x \mid \log _ { 2 } x \leqq n \right\} \\ & B ( n ) = \left\{ x \mid \log _ { 4 } x \leqq n \right\} \end{aligned}$$ Which of the following statements in the given options are correct? [4 points] Given Options ㄱ. $A ( 1 ) = \{ x \mid 0 < x \leqq 1 \}$ ㄴ. $A ( 4 ) = B ( 2 )$ ㄷ. When $A ( n ) \subset B ( n )$, then $B ( - n ) \subset A ( - n )$.
(1) ㄱ
(2) ㄴ
(3) ㄷ
(4) ㄱ, ㄷ
(5) ㄴ, ㄷ
For an integer $n$, two sets $A ( n ) , B ( n )$ are defined as
$$\begin{aligned}
& A ( n ) = \left\{ x \mid \log _ { 2 } x \leqq n \right\} \\
& B ( n ) = \left\{ x \mid \log _ { 4 } x \leqq n \right\}
\end{aligned}$$
Which of the following statements in the given options are correct? [4 points]\\
Given Options\\
ㄱ. $A ( 1 ) = \{ x \mid 0 < x \leqq 1 \}$\\
ㄴ. $A ( 4 ) = B ( 2 )$\\
ㄷ. When $A ( n ) \subset B ( n )$, then $B ( - n ) \subset A ( - n )$.\\
(1) ㄱ\\
(2) ㄴ\\
(3) ㄷ\\
(4) ㄱ, ㄷ\\
(5) ㄴ, ㄷ