# Find the Value of Given Equation :

If 2^{2x+4}=16^{x}, then x^{3}=?

- 5
- 2
- 16
- 8

**Answer: (4) 8**

**Explanation:-**

2^{2x + 4} = 16^{x}

2^{2x + 4} = 2^{4x}

comparing on the both side,

2 X + 4 = 4 X

4 X – 2 X = 4

2 X = 4

X = 4/2

X = 2

The value of X^{3},

Put the value of X = 2,

Then, 2^{3} = 2 x 2 x 2

= 8

Hence, the answer is (4) 8.