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alex41 [277]
3 years ago
7

6. (5 points) What is 3loga + logb − logc written as a single logarithm?

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer: log(\frac{a^3b}{c})

Step-by-step explanation:

You need to use the following Properties of Logarithms:

1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})

Given the following expression:

3log(a) + log(b) - log(c)

You can follow these steps in order to write it as a single logarightm:

- Apply the first property shown above:

=log(a)^3 + log(b) - log(c)

- Apply the second property:

=log(a^3b)- log(c)

- Finally, apply the third property:

=log(\frac{a^3b}{c})

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