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यदि `2^(x) = 3^(y) = 12^(z)` हो , तब `(x +2y)//(xy)` किसके बराबर है ?A. zB. 1/zC. 2zD. z/2 |
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Answer» Correct Answer - B माना ` 2^(x) = 3^(y) = 12^(z) = k` ` rArr x = log_(2) k, y = log_(3) k, z = log_(12) k` अब , ` (x + 2y)/(xy) = (log_(2) k+2 log_(3) k)/(log_(2) k*log_(3) k) = 1/(log_(3) k) + 2/(log_(2) k) ` ` = log_(k) 3 + 2 log_(k) 2 = log_(k) 3 + log_(k) 4 = log_(k) 12 ` ` = 1/(log_(12) k) = 1/z` |
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