196k views
1 vote
Write the following as a single logarithm.

Please help me!!

Write the following as a single logarithm. Please help me!!-example-1

1 Answer

5 votes

Answer:


log_(i)(3c)/(7)

Explanation:

The problems focus on two rules of logs known as the product rule and the quotient rule.

The product rule states that the log of a product of two values is equivalent to the sum of logs of single values:


log_(a)(bc)=log_(a)b+log_(a)c

The quotient rule states that the log of a quotient of two terms is equivalent to the difference of logs of single values:


log_(a)((b)/(c))=log_(a)b-log_(a)c

Since we have the same base for all three logs, we can combine them using the two rules:


log_(i)(3)+log_(i)(c)-log_(i)(7)\\ log_(i)(3c)-log_(i)(7)\\ log_(i)((3c)/(7))

User Mo Tao
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories