Evaluate the logarithmic expression $$ \log_{\sqrt{2}} 8 $$ ...

Question Analysis
This problem assesses the ability to evaluate a logarithmic expression with a square root in the base.

Key Concept Explanation
The logarithmic expression represents the exponent to which the base must be raised to obtain the argument . In this case, we need to find the exponent such that .

Step-by-step Solution
1. Let . According to the definition, convert it to the exponential equation