Find the domain of the logarithmic function.
\[
f(x)=\ln (8-x)
\]
(-
(A) , 8) or $(8$,
)
(-
B
.0)
(c)
$(-$
,8)
$(-8$,
(D)

Answer

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Answer

Final Answer: $\boxed{(-\infty, 8)}$

Steps

Step 1 ：Find the domain of the logarithmic function: $f(x)=\ln (8-x)$

Step 2 ：Since the natural logarithm is only defined for positive numbers, we need to find the values of x that will make the expression inside the logarithm $(8-x)$ positive.

Step 3 ：Solve the inequality: $8-x > 0$

Step 4 ：Add x to both sides: $8 > x$

Step 5 ：Final Answer: $\boxed{(-\infty, 8)}$

Find the domain of the logarithmic function.\[f(x)=\ln (8-x)\](-(A) , 8) or $(8$,)(-B.0)(c)$(-$,8)$(-8$,(D)

Answer

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Find the domain of the logarithmic function.
\[
f(x)=\ln (8-x)
\]
(-
(A) , 8) or $(8$,
)
(-
B
.0)
(c)
$(-$
,8)
$(-8$,
(D)