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Simplify the following as single logarithm:

i. log105 + 2 log104

ii. 2 log 7 - log 14

iii. \(\cfrac{1}{2}\) log536 + 2 log57 - \(\cfrac{1}{2}\) log512

iv. log103 + log102 - 2log105

v. 2log 3 - \(\cfrac{1}{2}\) log 16 + log 12.

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