Answer:
Step-by-step explanation:
Law of logarithm
LogAB = logA+logB
LogA/B= LogA -LogB
Also LogA^n= nLogA
So, we are going to use these three rules
Given that,
1. In(mn³/p)
Apply the division rule
Then,
In(mn³/p)= In(mn³) - In(p)
Also apply multiplication rule
In(mn³) - In(p) = In(m) + In(n³) - In(p)
Also apply the index rule
In(m) + In(n³) - In(p)
In(m) + 3In(n) - In(p)
Answer, the first option is the correct option
2. 3In(x)+2In(y)+loge(z)
Firstly loge is called natural logarithm which is also the In. Loge means In
Then, the question becomes
3In(x)+2In(y)+In(z)
Apply the rules above
First apply index rule
In(x³)+In(y²)+In(z)
Then, applying the addition rule
In(x³y²z). Answer
The second option is the correct answer
