Find the domain of the logarithmic function.
-$f ( x ) = \ln ( 2 - x )$
A) $( - \infty , 2 )$
B) $( - \infty , 2 )$ or $( 2 , \infty )$
C) $( - 2 , \infty )$
D) $( - \infty , 0 )$

Question

Quizplus · Accepted Answer

The argument of the logarithm, $2 - x$, must be greater than 0 for the logarithm to be defined. Solving $2 - x > 0$ gives $x < 2$, which corresponds to the interval $(-\infty, 2)$.

Find the Domain of the Logarithmic Function f(x)=ln⁡(2−x)f ( x ) = \ln ( 2 - x )f(x)=ln(2−x)

Find the Domain of the Logarithmic Function $f ( x ) = \ln ( 2 - x )$