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Question

The value of log224log962log2192log122 is

A
3
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B
0
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C
2
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D
1
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Solution

The correct option is D 3
Consider
log224log962log2192log122
=log24.log96log192log12(log2)2
=log(23×3)log(25×3)log(26×3)log(22×3)(log2)2
=(3log2+log3)(5log2+log3)(6log2+log3)(2log2+log3)(log2)2
=15(log2)212(log2)2(log2)2
=3(log2)log2
=3
Option A is the correct answer.

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