Provide an appropriate response.
-Let $\lim _ { x \rightarrow 3 } f ( x ) = 16$. Find $\lim _ { x \rightarrow 3 } \log _ { 4 } f ( x )$.
A) 2
B) $\frac { 1 } { 2 }$
C) 16
D) $- 3$

Question

Quizplus · Accepted Answer

We use the property that if $\lim _ { x \rightarrow c } f ( x ) = L$, then $\lim _ { x \rightarrow c } \log _ { a } f ( x )=\log _ { a } \lim _ { x \rightarrow c } f ( x )$ for any constant $a\neq1$. Thus, $\lim _ { x \rightarrow 3 } \log _ { 4 } f ( x )=\log _ { 4 } \lim _ { x \rightarrow 3 } f ( x )=\log _ { 4 } 16=2$. Therefore, the answer is A.

Provide an Appropriate Response lim⁡x→3f(x)=16\lim _ { x \rightarrow 3 } f ( x ) = 16limx→3​f(x)=16

Provide an Appropriate Response $\lim _ { x \rightarrow 3 } f ( x ) = 16$