Question:If `log_x (9/16) = - 1/2,` then x is equal to : 

A `3/4` 
B `- 3/4` 
C `81/256` 
D `256/81` 

+ Answer
D 

+ Explanation
`log_x (9/16)`

`= - 1/2 ⇔ x^- 1/2`

`= 9/16 ⇔ 1/√x`

`= 9/16 ⇔ √x`

`= 16/9`

:. x`= (16/9 xx 16/9)`

`= 256/81.`

+ Report

Irin Moni

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