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Composite Function

If x∈-π, π ...

Question

If $x \in (- π, π)$ such that
$y = 1 + | cos x | + | {cos}^{2} x | + | {cos}^{3} x | + \dots \dots .$ .
and $8^{y} = 64$ , then $y =$

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is B $2$
$8^{y} = 64$ directly gives $y = 2$

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