Problem 24
Question
Evaluate each expression without using a calculator. $$\log _{3} 27$$
Step-by-Step Solution
Verified Answer
The answer is 3.
1Step 1: Understand the base and the number
We have a logarithm with base 3, and we want to know what power 3 must be raised to in order to get 27.
2Step 2: Evaluate the Logarithm
Since \(3^3 = 27\), we know that 3 must be raised to the power of 3 to obtain 27. So, \( \log _{3} 27 = 3 \).
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