Find the value of x in the equation $$2^{3x} = 16^{x+2}.$$​​

Correct option is D

Given:

$$2^{3x} = 16^{x+2}$$

Formula used:

​$$a^m = a^n,$$​

Then m = n

Solution:

$$2^{3x} = 16^{x+2}$$

$$2^{3x} = 2^{4\times({x+2})}$$

$$2^{3x} = 2^{4x+8}$$

3x = 4x + 8

4x - 3x = -8

x = -8

Thus, the correct answer is (d).