Question:If`log_x (0.1) = - 1/3,` then the value of x is : 

A `10` 
B `100` 
C `1000` 
D `1/1000` 

+ Answer
C 

+ Explanation
`log_x (0.1) = - 1/3 ⇔ x^- 1/3`

`= 0.1 ⇔ 1/(x^1/3)`

`= 0.1`

`:. x^1/3`

`= 1/0.1`

`= 10 or x = (10)^3`

`= 1000.`

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Irin Moni

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