Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The equation \(\log_2 x = -1\) implies:
Options
A x = 2
B x = 1/2
Correct Answer
C x = -2
D No solution
Correct Answer

Option B is the correct answer.

Detailed Explanation

(\log_2 x = -1) means (2^{-1} = x), so x = 1/2.

Hint

Rewrite in exponential form: \(\log_a b = c \Rightarrow a^c = b\).

Question Info