Problem 35
Question
Evaluate each expression without using a calculator. $$\log _{5} 5$$
Step-by-Step Solution
Verified Answer
The evaluation of \( \log _{5} 5 \) is 1.
1Step 1: Identity Property of Logarithms
In this exercise, we are working with base-5 logarithms. One key property of logarithms is as follows: The logarithm of a base to the same base is always 1. It can be written as: \[ \log _{b} b = 1\]
2Step 2: Evaluate the expression
Applying the identity property of logarithms to \(\log _{5} 5 \) we get \( \log _{5} 5 = 1\).
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