Question

Which expression is equivalent to log Subscript 3 Baseline StartFraction c Over 9 EndFraction?
log Subscript 3 Baseline c + log Subscript 3 Baseline (9)
log Subscript 3 Baseline (9) + log Subscript 3 Baseline (c)
log Subscript 3 Baseline c minus log Subscript 3 Baseline (9)
log Subscript 3 Baseline (9) minus log Subscript 3 Baseline (c)

Answer 1

log_3(c/9) = log_3 c - log_3 9, by the quotient rule for logarithms. (Since log_3 9 = 2, this equals log_3 c - 2.)