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The minimum value of f(x)=2^((log(8)^(3)...

The minimum value of `f(x)=2^((log_(8)^(3))cos^(2)x)+3^((log_(8)^(2))sin^(2))x` is

A

`2^(1-log_(8)sqrt(3))`

B

`2^(log_(8)sqrt(3))`

C

`3^(log_(8)sqrt(2))`

D

`2^(1+log_(8)sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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