Find the domain of the function and express the domain in interval notation. $$g ( x ) = \log _ { 5 } x$$
A) $( 5 , \infty )$
B) $( - \infty , \infty )$
C) $[ 0 , \infty )$
D) $( 0 , \infty )$

Question

Quizplus · Accepted Answer

The domain of a logarithmic function $\log_b(x)$ is all positive real numbers, meaning $x > 0$. Therefore, the domain of $g(x) = \log_5(x)$ is $(0, \infty)$.

Find the Domain of the Function and Express the Domain g(x)=log⁡5xg ( x ) = \log _ { 5 } xg(x)=log5​x

Find the Domain of the Function and Express the Domain $g ( x ) = \log _ { 5 } x$