f Logx (1 / 8) = - 3 / 2, then x is equal to
If Logx (1 / 8) = - 3 / 2, then x is equal to
Solution
Rewrite the logarithmic equations using exponential equation
x- 3 / 2 = 1 / 8
The above equation may be rewritten as
x - 3 / 2 = 1 / 23 = 2-3
(√x)-3 = 2-3
The above equation gives
√x = 2 or x = 4
