Section 4.1 Logarithms and their Properties. Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B.

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Presentation transcript:

Section 4.1 Logarithms and their Properties

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?

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

Example Simplify the following expressions using logs

Logarithms are just exponents Evaluate the following:

Logarithms are inverses of exponential functions so Evaluate

Properties of the common Logarithm

The Natural Logarithm

Evaluate