Question

Which of the following are true statements?

(Check all that apply)

a. logM+logN=log(MN)
b. logM^p=P*logM
c. (logM)^p=P*logM
d. logM-logN=log(M-N)

Answer 1

The best and most correct answer among the choices provided by the question is the first and second choices.

The equations that are correct regarding natural logarithms are:

a. logM+logN=log(MN)
b. logM^p=P*logM
I hope my answer has come to your help. God bless and have a nice day ahead!

Answer 2

Answer: Options a,b are correct

Step-by-step explanation:

We can check the true statements with thye help of logarithmic rules

1. product rule log(xy) = logx+logy

2.quotient rule
`log(x)/(y)=logx-logy`

3. Exponent rule
`logx^m=m*logx`

Option a is satisfying product rule

Option b is satisfying exponent rule

Option c is discarded because
`(logM)^p=log^pM` not equal to p*LogM

Option D is discarded because logM-logN =
`logM-logN=log((M)/(N))` is not equal to log(M-N)

Hence, Option a and b are correct.