Review of Exponential and Logrithmic Functions

Exponential Funcions

Using the One-to-one property:

When the bases on both sides of an equation are equal, their powers can be set equal to each other.

Ex 1:

Using the Inverse Property ("The Key to Everything"):

This property allows you to get rid of exponents by taking the log or natural log of both sides of an equation. By doing so, the exponent can be moved to the ouside of the log or natural log, and the log will be able to be changed to 1 (because ln(e)=1 and you can any kind of log so that it changes to 1)

Ex 2:

Logarithmic Functions

Using the One-to-One property:

Ex 3:

Using the Inverse Property ("The Key To Everything"):

Ex 4: