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Question

Find the value of loge 144.


A

2 loge 12

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B

4 loge 2+2 loge 3

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C

loge 2 + loge 18

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D

All of these

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Solution

The correct option is D

All of these


loge 144 = loge122 = 2loge12 (option A)

Factors of 144 = 24 × 32

loge 144 = loge (24 × 32)

= loge24 + loge32

= 4loge2 + 2loge3 (option B)

loge 144 = loge (23 × 18) = loge(23) + log18

= 3loge2 + log18 (option C)


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