Question

What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?
log Subscript 5 Baseline 21
log Subscript 5 Baseline 26
log Subscript 5 Baseline 30
log Subscript 5 Baseline 56

Answer 1

Use the product rule for logs: log_a(x)+log_a(y)=log_a(xy).

log_5(4·7) + log_5 2 = log_5 28 + log_5 2 = log_5(28·2) = log_5 56.

So the correct choice is log_5 56.