What is the solution of log2x 416 4?

To solve the equation log2(x) = 416 + 4, we first simplify the right-hand side:

log2(x) = 420

Next, we need to rewrite this logarithmic equation in its exponential form. The definition of a logarithm tells us that if logb(a) = c, then bc = a. Here, we have:

2420 = x

Therefore, the solution for x is:

x = 2420

This means x is equal to 2 raised to the power of 420. This is a very large number and is typically expressed in exponential form, rather than calculating its exact value.