Solve for x: (2^x)^4 = (2^6)^2

Answer 1

I'm first going to rewrite your problem as the following: (2^x)⁴ = (2⁶)²

Following the rule of exponents, we get: 2^4x = 2¹²

Since the bases are the same, we can ignore them for now: 4x = 12

Dividing both sides by 4, we'll get: x = 3