The answer is 3/4. To answer this, create an equivalent expression. 2 to the power of 4x will then be equivalent to 2 to the power of 3. Since both have a base of 2, you can cancel them out. You now have 4x is equal to 3. To finally solve, divide both sides by 4. You then get x = 3/4. If you do 16 to an exponent of 3/4, you get 8.
