Find the Equation for the Level Surface of the Function $$f ( x , y , z ) = e ^ { \left( x ^ { 2 } + y ^ { 2 } - z \right) } , ( 3,5,9 )$$

Multiple Choice

Find the equation for the level surface of the function through the given point.
- $$f ( x , y , z ) = e ^ { \left( x ^ { 2 } + y ^ { 2 } - z \right) } , ( 3,5,9 )$$

A) $\ln \left( x ^ { 2 } + y ^ { 2 } - z \right) = 25$
B) $e ^ { \left( x ^ { 2 } + y ^ { 2 } - z \right) } = \ln ( 25 )$
C) $x ^ { 2 } + y ^ { 2 } - z = \ln ( 25 )$
D) $x ^ { 2 } + y ^ { 2 } - z = e ^ { 25 }$