Final answer:
The expression log2(80) - log2(5) can be condensed to log2(80/5), which simplifies to log2(16). As 16 is 2 to the power of 4, the final simplified answer is 4.
Step-by-step explanation:
The question requires us to condense the logarithmic expression log2(80) - log2(5) and simplify it if possible. According to the properties of logarithms, the difference between two logarithms with the same base can be written as the logarithm of the division of the two numbers. Hence, we can rewrite the given expression as:
log2(80/5)
Now, simplifying the fraction inside the logarithm:
log2(16)
Since 16 is a power of 2 (2^4), the logarithm can be further simplified:
log2(2^4) = 4
Therefore, the condensed and simplified form of the expression log2(80) - log2(5) is 4.