Determine the Function Value $f ( x ) = \log _ { a } ( x )$

Multiple Choice

Determine the function value.
-Suppose $f ( x ) = \log _ { a } ( x )$ and $f ( 2 ) = 2$ . Find $f \left( \frac { \sqrt { 2 } } { 2 } \right)$

A) 2
B) 1
C) $- 2$
D) $- 1$