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Exponential functions grow rapidly, making them useful for modeling phenomena like population growth and compound interest, but they can lead to extreme values that may be impractical in real-world applications. Logarithmic functions, on the other hand, provide a way to scale down large numbers and are useful in contexts like measuring sound intensity (decibels) or earthquake magnitudes, but they can be less intuitive and harder to interpret for those unfamiliar with their properties. Both types of functions are essential in various fields, offering unique advantages and disadvantages depending on the context.

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1mo ago

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