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Published byPhilippa Stone Modified over 4 years ago

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Section 4.1 Logarithms and their Properties

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Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B after t years –When will the account be worth $200?

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In the previous example we needed to solve for the input Since exponential functions are 1-1, they have an inverse The inverse of an exponential function is called the common logarithm function or the log function In other words

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Example Simplify the following expressions using logs

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Logarithms are just exponents Evaluate the following:

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Logarithms are inverses of exponential functions so Evaluate

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Properties of the common Logarithm

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The Natural Logarithm

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Evaluate

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