Question

Write the expression as a single logarithm. 3 log 3 q + 6 log 3 v

Answer 1

The answer is Logb (q^3v^6)

Answer 2

Here you will use the product rule and power rule of logarithms, if the bases are the same with operation of addition they can be presented as a product of logs and the power rule, you can place the exponent of the log in front of the log and vise versa.

Power rule:
3log3 q + 6 log 3 v
log3 q^3 + log3 v^6

Product rule:
log3 q^3 + log3 v^6
log3 (q^3v^6)