Final answer:
To simplify the expression log(25/5) + 1/5, first simplify log(25/5) using logarithmic properties to get 2, and then add 1/5 to obtain the final answer of 2.20.
Step-by-step explanation:
The question asks us to simplify the expression log(25/5) + 1/5.
To simplify the logarithmic term, we use the property of logarithms that states log(a/b) = log(a) - log(b).
Therefore, log(25/5) can be simplified as log(25) - log(5).
Since 25 is 5 squared (52), log(25) is equivalent to 2*log(5).
Given that log(5) - log(5) is 0, the expression simplifies to 2.
Finally, adding the 1/5 to the simplified logarithmic expression,
we get 2 + 1/5 which is equivalent to 2.20.