Problem 32
Question
Evaluate each expression without using a calculator. $$\log _{11} 11$$
Step-by-Step Solution
Verified Answer
The value of \( \log _{11} 11 \) is 1
1Step 1: Understanding the Logarithm
The logarithmic expression can be written as \( \log _{11} 11 \). The base of the logarithm is 11 and the number is also 11.
2Step 2: Applying the Logarithm Property
According to the properties of logarithms, when the base of the logarithm and the number are the same, then the value of the logarithm equals 1. Hence, \( \log _{11} 11 = 1 \).
Other exercises in this chapter
Problem 32
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