find the value of x when 4^x=4096.

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A 6
B 3
C 8
D 12

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Answer: A. 6

4^3 = 64, and 64^2 = 4096. So 4096 = (4^3)^2 = 4^6, giving x = 6. Repeated multiplying also works: 4, 16, 64, 256, 1024, 4096 is six 4s.

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find the value of x when 4^x=4096.

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