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Question

Part 1
Evaluate the expression without using a calculator.
log Subscript 2 Baseline 1
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Part 1
log Subscript 2 Baseline 1equals
  
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​(Type an integer or a simplified​ fraction.)

Answer 1

To evaluate the expression \( \log_2 1 \), we can use the definition of logarithms.

The logarithm \( \log_b a \) answers the question: "To what exponent must the base \( b \) be raised to produce \( a \)?"

So, \( \log_2 1 \) asks: "To what power must 2 be raised to get 1?"

Since \( 2^0 = 1 \), we can conclude that:

\[ \log_2 1 = 0 \]

Therefore, the value of \( \log_2 1 \) is \( 0 \).