If $$\log_5 x = 2 \log_{25} 6$$ , find the value of x. The v...

Question Analysis
This question solves a logarithmic equation with bases 5 and 25, using the Change of Base Formula and logarithmic properties to find x. The key is converting to base 5 for consistency.

Key Concept Explanation
Change of Base Formula: For positive ( ): (used here to convert base 25 to 5).

Step-by-step Solution
1. Simplify RHS ( ):
Use Change of Base Formula (base 5): .
Since ,