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Answer :

The quotient property of the logarithmic function is

[tex]log_b(\frac{M}{N})=log_b(M)-log_b(N)[/tex]

Therefore, in our case,

[tex]\Rightarrow log_a(\frac{M}{N})=log_a(M)-log_a(N)[/tex]

Thus, the answer to (1) is log_a(M) (third option), while the answer to (2) is log_a(N)(third option too)