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Verified Answer :

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
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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.

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