Question

Question #8abe5

Answer 1

The answer is `B`. See explanation.

Explanation:

First we can see, that the unknown is the base of a logarithm. From the definition of a logarithm we know, that it cannot be a negative number. That implies that the answer cannot be `A`.

To find the correct answer we have to use the definition of a logarithm.

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

So to find the answer we have to solve:

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

`x^(3/2)=8`

`x^{1/2}=2`

`x=4`

The solution is `x=4`, so the correct answer is `B`.