Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The expression \(\log_a x\) is defined when:
Options
A a > 0, a ≠ 1, x > 0
Correct Answer
B a > 0, x = 0
C a ≠ 1
D x ≥ 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

For log_a x to be defined, the base a must be positive and not equal to 1, and the argument x must be positive.

Hint

Recall the definition of logarithms: log_a x is defined for a>0, a≠1, x>0.

Question Info