Question

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? ​

Answer 1

Answer:

C

Step-by-step explanation:

given $log_{b}$ a, then the change of base is

$\frac{loga}{logb}$

For the given expression a = $\frac{1}{3}$ and b = 2, hence

The original expression is therefore

$log_{2}$ $\frac{1}{3}$ → C

Answer 2

Answer:

Option C. $log_{2}\frac{1}{3}$

Step-by-step explanation:

The given logarithmic expression is $\frac{log(\frac{1}{3} )}{log2}$

Rule of logarithm says

$\frac{log_{e}a }{log_{e}b}=log_{b}a$

So by this rule,

expression $\frac{log(\frac{1}{3} )}{log2}$ will become $log_{2}\frac{1}{3}$

Therefore, Option C. $log_{2}\frac{1}{3}$ will be the answer.