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Simplify log 25/5 + 1/5

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3 votes

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.

User Varun Nath
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