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

A `14` 
B `16` 
C `18` 
D `25` 

+ Answer
A 

+ Explanation
`log_5^20`

`= 20 log 5`

`= 20 xx [log (10/2)]`

`= 20 xx [log 10 - log 2]`

`= 20 xx [1 - 0.3010]`

`= 20 xx .6990`

`= 13.9800`

:. Characteristic`= 13`.

:. Number of digits in`5^20` is `14`.

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Irin Moni

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