iflog8 x log8 1 6 3 then the value of, Logarithms, General Mathematics

Question:If`log_8 x + log_8 1/6 = 1/3,` then the value of x is :

A `12` 
B `16` 
C `18` 
D `24`

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+ AnswerA

+ Explanation`log x + log_8 1/6`

`= 1/3 ⇔ (1og x)/(log 8) + (log 1/6)/(log 8)`

`= 1/3`

`:. log x + log 1/6`

`= 1/3 log 8`

`or log x + log 1/6`

`= log (8^1/3)`

`= log (2^3)^1/3.`

`:. log x + log 1/6`

`= log 2`

`or log x`

`= log 2 - log 1/6`

`= log (2 xx 6/1)`

`= log 12.`

`:. x = 12.`

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