turkey-yks 2020 Q22

turkey-yks · Other · yks-ayt Laws of Logarithms Verify Truth of Logarithmic Statements
Where $a$ and $b$ are positive real numbers different from 1,
$$\log_a 2 < 0 < \log_2 b$$
the inequality is satisfied. Accordingly, I. $a + b > 1$ II. $b - a > a$ III. $a \cdot b > 1$ Which of the following statements are always true?
A) Only I
B) Only II
C) I and II
D) I and III
E) II and III
Where $a$ and $b$ are positive real numbers different from 1,

$$\log_a 2 < 0 < \log_2 b$$

the inequality is satisfied. Accordingly,\\
I. $a + b > 1$\\
II. $b - a > a$\\
III. $a \cdot b > 1$\\
Which of the following statements are always true?\\
A) Only I\\
B) Only II\\
C) I and II\\
D) I and III\\
E) II and III