Answer: [tex]log(\frac{a^3b}{c})[/tex]
Step-by-step explanation:
You need to use the following Properties of Logarithms:
[tex]1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})[/tex]
Given the following expression:
[tex]3log(a) + log(b) - log(c)[/tex]
You can follow these steps in order to write it as a single logarightm:
- Apply the first property shown above:
[tex]=log(a)^3 + log(b) - log(c)[/tex]
- Apply the second property:
[tex]=log(a^3b)- log(c)[/tex]
- Finally, apply the third property:
[tex]=log(\frac{a^3b}{c})[/tex]
