What is log(21/x2) written in expanded form?log 21−2 log x2 log x−log 212 log 21−log xlog x−log 21+2
Accepted Solution
A:
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