222k views
4 votes
Hello! I need some assistance with this homework question for precalculus, please?HW Q10

Hello! I need some assistance with this homework question for precalculus, please-example-1
User Herrozerro
by
7.4k points

1 Answer

2 votes

We want to write the following expression


6\log_7u+5\log_7v

as a single expression. To do that, first, we're going to use the following property


a\log_bx=\log_bx^a

Applying this property in our expression, we can rewrite it as


6\operatorname{\log}_7u+5\operatorname{\log}_7v=\operatorname{\log}_7u^6+\operatorname{\log}_7v^5

Then, using the following property


\log_ax+\log_ay=\log_a(x\cdot y)

we can rewrite our expression as


\operatorname{\log}_7u^6+\operatorname{\log}_7v^5=\operatorname{\log}_7u^6v^5

User Roggie
by
7.9k points

Related questions

1 answer
4 votes
211k views
1 answer
5 votes
198k views
1 answer
1 vote
13.8k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.