witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2A)log(3) 5+2 log(3)xB)log(3) 5-2 log(3)xC)2 log(3) 5-log(3)xD)log(3) 5+log(3)x
Accepted Solution
A:
assuing you mean [tex]log_{3}(\frac{5}{x^2})[/tex] remember that [tex]log(\frac{a}{b})=log(a)-log(b)[/tex] also, [tex]log(x^m)=(m)log(x)[/tex]
so [tex]log_{3}(\frac{5}{x^2})=[/tex] [tex]log_{3}(5)-log_{3}(x^2)=[/tex] [tex]log_{3}(5)-2log{3}(x)[/tex]