Logarithms invert exponentials

Written by Nate Soares, Eric Rogstad, et al. last updated

The function inverts the function In other words, implies that so and (For example, and ) Thus, logarithms give us tools for analyzing anything that grows exponentially. If a population of bacteria grows exponentially, then logarithms can be used to answer questions about how long it will take the population to reach a certain size. If your wealth is accumulating interest, logarithms can be used to ask how long it will take until you have a certain amount of wealth. (TODO)

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