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Question

Part 1
Evaluate the expression without using a calculator.
log Subscript 2 Baseline 2 Superscript 8
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Part 1
log Subscript 2 Baseline 2 Superscript 8 Baseline equals
  
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Answer 1

To evaluate the expression \( \log_2(2^8) \), you can use the logarithmic identity:

\[ \log_b(b^x) = x \]

Here, \( b \) is the base of the logarithm (which is 2 in this case), and \( x \) is the exponent (which is 8 here).

Therefore,

\[ \log_2(2^8) = 8 \]

So, the answer is:

8