Problem 33
Question
Evaluate each expression without using a calculator. $$\log _{4} 1$$
Step-by-Step Solution
Verified Answer
The value of \(\log _{4} 1\) is 0.
1Step 1: Understand the Properties of Logarithm
A key property of logarithms is that the logarithm of 1 in any base equals 0, because any number raised to the power of 0 equals 1. This is expressed as \(\log_b 1 = 0\), where b is any real number.
2Step 2: Apply the Property
Now applying this property to our question, \(\log _{4} 1 = 0\).
Other exercises in this chapter
Problem 33
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