Inverse Functions
Inverse Functions
Introduction to Logarithms
Logarithmic functions and exponential functions are inverse functions. When two functions are inverses, switch the x and y coordinates. A logarithmic function is written in the form: 
.
The definition of logarithm states:
This definition allows you to convert between logarithmic and exponential equations because the two statements above are equivalent. In other words, a log is another way to write an exponent.
One of the keys in using this definition is to remember that when converting between logarithmic and exponential forms, the base is always the same. In the example above, the base of both functions is b.
. The definition of logarithm states:
This definition allows you to convert between logarithmic and exponential equations because the two statements above are equivalent. In other words, a log is another way to write an exponent.
One of the keys in using this definition is to remember that when converting between logarithmic and exponential forms, the base is always the same. In the example above, the base of both functions is b.