Question Analysis
This problem tests the ability to solve exponential equations by expressing both sides with the same base.
Key Concept Explanation
When the bases are the same, set the exponents equal to each other. Here, 49 can be expressed as a power of 7.
Step-by-step Solution
1. Rewrite 49 as a power of 7:
.
2. Substitute this into the equation:
.
3. Set the exponents equal:
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