iflog4 x log2 6 then is equal to, Logarithms, General Mathematics

Question:If`log_4 x + log_2 x = 6,` then x is equal to :

A `2` 
B `4` 
C `8` 
D `16`

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+ AnswerD

+ Explanation`log_4 x + log_2 x`

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

`= 6`

`:. (log x)/(2 log 2) + (log x)/(log 2)`

`= 6 ⇔ 3 log x`

`= 12 log 2`

`or log x`

`= 4 log 2 ⇔ log x`

`= log ^24 or x = 2^4`

`= 16.`

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