Question

Expand the logarithmic expression log, 5q.

A. log 5 + 5loga
B. Slog
C.log: 5 - 5 log: 9
D.log, 5.5 logs

Answer 1

To expand the logarithmic expression log(5q), apply the property that the logarithm of a product is the sum of the logarithms of the individual factors, resulting in log(5) + log(q).

Step-by-step explanation:

The student has asked to expand the logarithmic expression log(5q). Using the properties of logarithms, we can use the rule that states the logarithm of a product of two numbers is the sum of the logarithms of the two numbers. This can be expressed as log(xy) = log(x) + log(y). Therefore, log(5q) can be expanded to log(5) + log(q).