Question:The value of `log_2 (log_5 625)` is : 

A `2` 
B `5` 
C `10` 
D `15` 

+ Answer
A 

+ Explanation
Let `log_5 625 = x.`

Then,`5^x = 625`

`= 5^4 or x = 4.`

Let `log_2 (log_5 625) = y.`

Then,`log_2 (4) = y`

`or 2^y = 4 = 2^2.`

So,`y = 2.`

:.`log_2 (log_5 625) = 2.`

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Irin Moni

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