What is the solution of log2x 6 256 4?

The expression log2x = 6 is asking us to find the value of x such that when we take the logarithm base 2 of x, we get 6. This can be rewritten in exponential form as follows:

x = 26

Calculating this gives:

x = 64

Now, let’s analyze the second part of your question regarding the numbers 256 and 4. If you want to solve log2(256) and log2(4), we can compute these separately:

First, considering log2(256):

• Since 256 = 28, we have:
• log2(256) = 8

Next, for log2(4):

• Since 4 = 22, we find:
• log2(4) = 2

In conclusion, if your primary question was to evaluate log2x = 6, the solution is x = 64. If you were looking to evaluate log2(256) and log2(4), they result in 8 and 2 respectively.