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Let log(10)2=a and log(10)3=b determine ...

Let `log_(10)2=a` and `log_(10)3=b` determine the following in term of `a` and `b`
`(i) log_(4)100+2log_(27)100` `(ii) log_(144)sqrt(45)`

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The correct Answer is:
`(i) (1)/(a)+(4)/(3b)` `(ii) (1)/(2)((2b+1-a)/(2b+4a))`
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