Question

Which of the following illustrates the product rule for logarithmic equations?
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 divided by log Subscript 2 Baseline x
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 times log Subscript 2 Baseline x
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 minus log Subscript 2 Baseline x
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 + log Subscript 2 Baseline x

Answer 1

The product rule is log_b(MN) = log_b M + log_b N, so the correct choice is:

log_2(4x) = log_2 4 + log_2 x

(Valid for x > 0.)