Essential Question: How do I graph & solve exponential and logarithmic functions? Daily Question: What are the properties of logarithms and how do I use.

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Presentation transcript:

Essential Question: How do I graph & solve exponential and logarithmic functions? Daily Question: What are the properties of logarithms and how do I use them to solve equations?

Remember these Properties of Logarithms Product Property Quotient Property Power Property

More Properties of Logarithms

Strategies for solving Equations 1. Make sure they have the same base 2. Rewrite an exp. eqn. in log form 3. Rewrite a log. eqn in exp. form

Ex. 1 Check (2)

Do not forget to check!!! Why did it not come out exactly right?

Ex. 3 Check (-1)

Ex. 4 Check (-5) Can’t have a log(negative number) Check (2)

Solve Ex. 5 Divide both sides by 2 Exponentiate each side Inverse property Divide both sides by 3

Ex. 6 & 7 Solve each Equation

Solve Ex. 8 Add 4 to both sides Divide both sides by 2 Take log (base 3) of each side Inverse property Add 5 to each side Divide both sides by 2 Use a calculator

Solving Logarithmic Equations Ex. 9 & 10 Solving Logarithmic Equations To solve a logarithmic equation, exponentiate both sides.

Solve Ex. 11 Subtract 5 from both sides Divide both sides by 2 Exponentiate each side. Inverse Property Use a calculator

Homework Day 9 on assignment sheet