Find the domain of the logarithmic function.
-$$f ( x ) = \log _ { 4 } ( x - 8 )$$
A) $( 8 , \infty )$
B) $( - \infty , 8 )$ or $( 8 , \infty )$
C) $( - 8 , \infty )$
D) $( - \infty , 0 )$ or $( 0 , \infty )$

Question

Quizplus · Accepted Answer

The argument of a logarithmic function must be greater than zero. Therefore, for $f(x) = \log_4(x - 8)$, the domain is found by setting $x - 8 > 0$, which simplifies to $x > 8$. This corresponds to the interval $(8, \infty)$.

Find the Domain of the Logarithmic Function f(x)=log⁡4(x−8)f ( x ) = \log _ { 4 } ( x - 8 )f(x)=log4​(x−8)

Find the Domain of the Logarithmic Function $f ( x ) = \log _ { 4 } ( x - 8 )$