5.6 Solving Exponential and Logarithmic Equations

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Presentation transcript:

5.6 Solving Exponential and Logarithmic Equations Objectives: Solve exponential and log equations Solve a variety of application problems by using exponential and log equations Review: What are two ways of solving the following:

Remember the Definition of a Function We can make both sides an exponent of base b or log both sides Exponential and log functions are one-to-one functions, therefore: We can drop the bases or drop the logs

Exponential Equations: Example 1: Powers of the Same Base Another way to confirm?

Example 2: Powers of Different Bases Need to learn the tricks!

Example 3: Powers of Different Bases Which graph is which?

Example 4: Using Substitution

Logarithmic Equations: Example 9: Equations with Only Log Terms

Example 10: Equations with Logs and Constant Terms Remember:

Example 11: Equations with Logs and Constant Terms

5.6 Hmwr: 1-29odd, 35-51odd