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

Explanation:

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

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

2.quotient rule $log\frac{x}{y}=logx-logy$

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 =$logM-logN=log(\frac{M}{N})$  is not equal to log(M-N)

Hence, Option a and b are correct.