Exponential Equations Simplifying Expressions Review Steps to Writing & Solving Exponential Equations or Inequalities Examples

Simplifying Exponential Expressions  All rules for exponents apply 2

Solving Exponential Equations/Inequalities  Steps  Make the base numbers equal on both sides using the rules of exponents  Set the exponents equal to each other  Solve for the variable  Check Your Answers! Not all equations/inequalities are solvable 3

Example for Solving Exponential Equations  Solve 4

Another Example for Solving Exponential Equations  Solve 5

Example for Solving Exponential Inequalities  Solve 6

What if the bases wont’ match?  Now you get to use the “log” function of your calculator  Steps:  Take the log (base 10) of each side  Use the powers rule  Isolate the variable algebraically  Usually division  Solve for the variable 7

Example Solve 8