If p > 0, q > 0 and p ≠ 1, q ≠ 1: Which of the following is correct?

Correct answer: c ii and iii

ii is true: logₚ q × log_q p = 1; iii is true: the index is 1/3 + 1/2 = 5/6; i is false.

Why the other options are wrong

• a i and ii: i is false: −p⁰ = −1, not 1; ii is true (Corollary 1), so this pairing is wrong.
• b i and iii: i is false because −p⁰ = −1; the two true statements are ii and iii.
• d i, ii and iii: i is false: −p⁰ = −1, so all three cannot be true.