Final answer:
The first part is solved by realizing 64 is 2 raised to the power of 6. The second part contains a potential typo, and without clarification, it's not possible to solve for n.
Step-by-step explanation:
The student asked two mathematics questions. The first is to solve the equation 2x = 64. We know that 64 can be expressed as a power of 2, that is 26, because 64 is 2 multiplied by itself 6 times. Therefore, x must be equal to 6 to satisfy the equation.
The second question, 3n + 4 = 272n, involves understanding exponential properties. Since 27 can be expressed as 33, we can rewrite the equation as 3n + 4 = (33)2n or 3n + 4 = 36n. However, without additional context or clarification on the original equation's formatting, it's not possible to solve for n. It seems there might be a typo or missing information in the equation.