Algebra-2

Question Analysis
This question solves a logarithmic equation with bases 7 and 49, using the Change of Base Formula and logarithmic properties to find x. The key is converting to base 7 for consistency.

Key Concept Explanation
Change of Base Formula: For positive ( ): (used here to convert base 49 to 7).

Step-by-step Solution
1. Simplify RHS ( ):
Use Change of Base Formula (base 7): .
Since , , so .
2. Substitute back to RHS:

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