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Question

The value of ((log29)2)1log2(log29)(7)1log47 is

A
7log29
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B
log97
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C
8
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D
63
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Solution

The correct option is C 8
((log29)2)1log2(log29)(7)1log47
=(log29)2log(log29)2(7)log74
=(log29)log(log29)4(4)log77
=441/2 (xlogxy=ylogxx=y)
=42=8

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