Differentiation Question 18

Question: $ \frac{d}{dx}{\log_7}({\log_7}x) $ =

Options:

A) $ \frac{1}{x{\log _{e}}x} $

B) $ \frac{{\log _{e}}7}{x{\log _{e}}x} $

C) $ \frac{{\log_7}e}{x{\log _{e}}x} $

D) $ \frac{{\log_7}e}{x{\log_7}x} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{d}{dx}[{\log_7}({\log_7}x)]=\frac{d}{dx}( \frac{{\log _{e}}({\log_7}x)}{{\log _{e}}7} ) $

$ \sin \theta =\sin \varphi $ .