Answer: 2
Explanation:
We can simplify the given logarithmic expression using the logarithmic property that states:
log a base b - log c base b = log (a/c) base b
Using this property, we can rewrite the expression as follows:
log 16 base 2 - log 4 base 2 = log (16/4) base 2
Simplifying the numerator of the logarithm, we get:
log (16/4) base 2 = log 4 base 2
Now, we can evaluate the logarithm using the definition of logarithm, which states that:
log b base a = x if and only if a = b^x
In this case, we have:
log 4 base 2 = x if and only if 2^x = 4
We know that 2 raised to what power gives 4? It is 2, because 2^2 = 4.
Therefore, we have:
log 4 base 2 = 2
Hence, the value of the given logarithmic expression is 2.