Final answer:
The expression log5 4 - log5 16 can be condensed to a single logarithm by using the difference property of logarithms, resulting in log5(1/4).
Step-by-step explanation:
To condense the expression log5 4 - log5 16 into a single logarithm, you can use the property of logarithms that states the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers (loga - logb = log(a/b)).
Applying this property:
log5 4 - log5 16 = log5(4/16) = log5(1/4).
Now you have a single logarithm, log5(1/4).