Final answer:
The sum log₂(4) + log₂(z) can be written as log₂(4z) by using the logarithmic property that combines the sum of logarithms into the logarithm of a product.
Step-by-step explanation:
The student is asking how to express the sum log₂(4) + log₂(z) as the logarithm of a single expression. The logarithmic property critical to solving this problem states that the logarithm of a product of two numbers is the sum of the logarithms of those two numbers, which can be written as log(xy) = log(x) + log(y). Using this property, we can combine the two logarithmic expressions given into one by multiplying their inside terms, yielding log₂(4z).