Questions: Evaluate log base 4 of 1.

Evaluate log base 4 of 1.
Transcript text: Evaluate $\log _{4} 1$.
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Solution

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Solution Steps

Step 1: Understand the logarithm expression

The expression \(\log_{4} 1\) asks for the exponent to which the base \(4\) must be raised to obtain \(1\).

Step 2: Apply the logarithm property

Recall that any logarithm of \(1\) with any positive base \(b\) (where \(b \neq 1\)) is \(0\), because \(b^0 = 1\).

Step 3: Substitute the values

Using the property from Step 2, \(\log_{4} 1 = 0\).

Final Answer

\(\boxed{0}\)

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