Question

The standard form of the equation of a parabola is x = y2 - 4y + 20. What is the vertex form of the equation? A.x = (y - 4)2 + 12 B.x = (y - 2)2 + 16 C.x = (y - 2)2 + 4 D.x = (y - 4)2 + 4

Answer 1

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