Question

If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10

Answer 1

B

Explanation:

Using the rule of logarithms

•
`log_(b)` x = n ⇔ x =
`b^(n)`

Given

`log_(x)` (
`(1)/(8)` ) = -
`(3)/(2)`, then

`(1)/(8)` =
`x^{-(3)/(2) }`

Square both sides

`(1)/(64)` =
`x^(-3)`

`4^(-3)` =
`x^(-3)` ⇒ x = 4 → B