Exponential Growth and Decay

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What is the relationship between exponential functions and logarithmic functions?

Exponential functions and logarithmic functions are inverses of each other; solving for \( t \) in exponential equations often involves logarithms.

What is the significance of the constant \( e \) in exponential functions?

The constant \( e \) (approximately 2.718) is the base of the natural logarithm and is used in continuous growth processes.

What role does time \( t \) play in exponential models?

Time \( t \) determines how long the growth or decay has been occurring, directly affecting the final amount.

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