Question:`If`log_4 x + log_2 x = 6,` then the value of x is : 

A `2` 
B `4` 
C `8` 
D `16` 

+ Answer
D 

+ Explanation
Given equation is

`(log x)/(log 4) + (log x)/(log 2) = 6`

`or (log x)/(2 log 2) + (log x)/(log 2) = 6`

`or 3 log x = 12 log 2.`

`:. log x = 4 log 2`

`= log 2^4.`

`So, x = 16`.

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Irin Moni

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