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Question \( 1(1 \) point) \( \checkmark \) soved Translate from exponential form to logarithmic form. \( 3^{3}=27 \) \( \log _{27}(3)=3 \) \( \log _{3}(3)=27 \) \( \log _{3}=\frac{3}{27} \) \( \log _{3}(27)=3 \)

Ask by Colon Macdonald. in the United States
Feb 21,2025

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\( \log_{3}(27) = 3 \)

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Beyond the Answer

Did you know that logarithms were first introduced to simplify complex calculations? The concept, developed by John Napier in the early 17th century, revolutionized mathematics, allowing for easier multiplication and division through addition and subtraction. This was a game-changer for astronomers and navigators at the time! In the real world, logarithms are incredibly useful beyond academics! They appear in various fields like biology, where they help in understanding population growth, and in finance, where they can be used to compute compound interest. They can also help to measure the intensity of earthquakes on the Richter scale or sound levels in decibels. Who knew math could help us understand the world so profoundly?

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