To simplify log₂(4), we need to determine what power we raise 2 to in order to get 4.
Since 4 can be expressed as 2² (because 2 multiplied by itself gives 4), we can rewrite the logarithm:
log₂(4) = log₂(2²)
Using the logarithm property that states logₐ(bᶜ) = c * logₐ(b), we apply this here:
log₂(2²) = 2 * log₂(2)
Now, we know that log₂(2) equals 1 (because 2 raised to the power of 1 is 2):
So, log₂(4) = 2 * 1 = 2.
Thus, the simplified form of log₂(4) is:
2