Question

If Logx (1 / 8) = - 3 / 2, then x is equal to 

A. - 4 
B. 4 
C. 1 / 4 
D. 10

Answer 1

it means that x^(-3/2) = 1/8   ( x^y -denotes x to the power y)
 
so as x^(-y) = 1 / (x^y)

x^(3/2) = 8
 Now  take the power to the other side(in simplistic terms)
=> x = 8^(2/3) = (8^(1/3))^ 2 = 2^2 = 4

so x = 4

Answer 2

Answer:

option a is correct

If Logx (1 / 8) = - 3 / 2, then x is equal to

Rewrite the logarithmic equations using exponential equation

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

1/8=x^-3/2

8=x^3/2

cube root on both sides

2=x^1/2

x=2^2=4