3. [0/2 Points] DETAILS MY NOTES WANEFMAC7 2.3.003 Simplify \( 3^{\log _{3}(9)} \). \( \begin{array}{l}6\end{array} \)
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To simplify \( 3^{\log_{3}(9)} \), we start by recognizing that \( \log_{3}(9) \) can be rewritten as \( \log_{3}(3^2) = 2 \). Thus, we have: \[ 3^{\log_{3}(9)} = 3^2 = 9 \] So the simplified expression is 9! Now, let’s take a moment to celebrate the power of logarithms! They can turn complicated equations into simpler forms. Logarithms basically tell us what exponent we need to reach a number, making them super handy in both math and real-life scenarios, like calculating interest rates or analyzing growth patterns.