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Mathematics
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Evaluate Log
2
8√2
A.
3.0
B.
4.5
C.
3.5
D.
2.5
Correct Answer:
3.5
Explanation
where Log
2
8√2 → Log
2
√128 → Log
2
128
1/2
= 1/2 * (Log
2
128) → 1/2* (Log
2
2
7
) = 7 * 1/2 * (Log
2
2) where (Log
2
2) = 1 → 7 * 1/2* 1 = 7/2 or 3.5
where Log
2
8√2 → Log
2
√128 → Log
2
128
1/2
= 1/2 * (Log
2
128) → 1/2* (Log
2
2
7
) = 7 * 1/2 * (Log
2
2) where (Log
2
2) = 1 → 7 * 1/2* 1 = 7/2 or 3.5
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