If A = l o g 2 l o g 2 l o g 4 256 + 2 l o g √ 2 2 , then A is equal to Options: A . &nbsp2 B . &nbsp3 C . &nbsp5 D . &nbsp7

Answer: Option C : C A = l o g 2 l o g 2 l o g 4 256 + 2 l o g 2 1 2 2 = l o g 2 l o g 2 l o g 4 4 4 + 2 × 1 ( 1 2 ) l o g 2 2 = l o g 2 l o g 2 4 + 4 = l o g 2 l o g 2 2 2 + 4 = l o g 2 2 + 4 = 1 + 4 = 5

If A=log2 log2 log4 256+2log√22, then A is equal to

Question

A = l o g_{2} l o g_{2} l o g_{4} 256 + 2 l o g_{\sqrt{2}} 2

, then A is equal to

Options:

A . 2

B . 3

C . 5

D . 7

Answer: Option C
:
C

A = l o g_{2} l o g_{2} l o g_{4} 256 + 2 l o g_{2_{\frac{1}{2}}} 2

= l o g_{2} l o g_{2} l o g_{4} 4^{4} + 2 \times \frac{1}{(\frac{1}{2})} l o g_{2} 2

= l o g_{2} l o g_{2} 4 + 4 = l o g_{2} l o g_{2} 2^{2} + 4

= l o g_{2} 2 + 4 = 1 + 4 = 5

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