Question

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

Answer 1

Answer:

Answer is "B"

=4

Answer 2

Answer:

is B =4

Explanation:

==> Let us simplify.

First we will rewrite (1/8) = (1/2)^3

= 2^-3

==> log(x) 2^-3 = -3/2

Now we know that log a^b = b*log a

==> log(x) 2^-3 = -3*log(x) 2 = -3/2

We will divide by -3.

We will divide by -3.==> log(x) 2 = -3/2*-3 = 1/2

Now we will rewrite using exponent form.

==> x^1/2 = 2

We will square both sides.

==> x = 4