Source: Extra Practice
Which of the following is equivalent to log_b a?
Options
Option A is correct
(log_c a) / (log_c b)
Option B
log_c (a - b)
Option C
log_c a * log_c b
Option D
log_a b
Explanation
This is the Change of Base Formula. log_b a = (log_c a) / (log_c b) for any positive base c ≠ 1. Option D is the reciprocal (1 / log_b a), and options B and C are common misconceptions about log properties that do not exist.