Answer:
[tex]log(21)-2log(x)[/tex]
Step-by-step explanation:
The given logarithmic expression is [tex]log(\frac{21}{x^2} )[/tex].
Observe that the expression in the argument is a quotient.
We apply the quotient property. This property is given as follows:
[tex]log(\frac{A}{B})=log(A)-log(B)[/tex].
When we apply this property, we obtain,
[tex]log(\frac{21}{x^2})=log(21)-log(x^2)[/tex].
Recall that [tex]log_a(m^n)=n\:log_a(m)[/tex].
We now apply this property to obtain,
[tex]log(\frac{21}{x^2})=log(21)-2log(x)[/tex].
Therefore the correct answer is A
