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 $ .