Question:If`log 2 = 0.30103,` then the number of digits in`4^50` is : 

A `30` 
B `31` 
C 100` 
D `200` 

+ Answer
B 

+ Explanation
`log ^4^50`

`= 50 log 4`

`= 50 log 2^2`

`= (50 xx 2) log 2`

`= 100 xx log 2`

`= (100 xx 0.30103)`

`= 30.103.`

:. Characteristic`= 30.`

Hence the number of digits in`4^50` is `31`

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Irin Moni

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