Q:

The expression log1/3/log2 is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression? ​

Accepted Solution

A:
Answer:Option C. [tex]log_{2}\frac{1}{3}[/tex]Step-by-step explanation:The given logarithmic expression is [tex]\frac{log(\frac{1}{3} )}{log2}[/tex]Rule of logarithm says[tex]\frac{log_{e}a }{log_{e}b}=log_{b}a[/tex]So by this rule,expression [tex]\frac{log(\frac{1}{3} )}{log2}[/tex] will become [tex]log_{2}\frac{1}{3}[/tex]Therefore, Option C. [tex]log_{2}\frac{1}{3}[/tex] will be the answer.