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Evaluate: 6^(log₆(5)) + 3^(log₉(16)).
- 9
- 21
- 7
- 1
Correct answer: 9
Solution
The first term simplifies directly to 5 using the identity a^(logₐ x) = x. For the second term, convert base-9 logarithm to base-3, giving 3^(log₃ 4) = 4. Sum = 5 + 4 = 9.
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