Algebra-2

Question Analysis
This question solves a logarithmic equation with bases 4 and 16, using the Change of Base Formula and logarithmic properties to find x. The key is converting to base 4 for consistency.

Key Concept Explanation
Change of Base Formula: For positive ( ): (used here to convert base 16 to 4).

Step-by-step Solution
1. Simplify RHS ( ):
Use Change of Base Formula (base 4): .
Since , , so .
2. Substitute back to RHS: