Lesson 6.6 Solving Exponential and Logarithmic Equations Day 2

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Presentation transcript:

Lesson 6.6 Solving Exponential and Logarithmic Equations Day 2 Learning Goal: (F.LE.A.4, A-REI.A.1) I can solve logarithmic equations by using the properties of logarithms. I can explain each step in solving a logarithmic equation. Essential Question: How can you solve logarithmic equations? Homework #11 Discussion

Solving Logarithmic Equations logbx = logby if and only if x = y ( b, x and y are positive, b≠1 ) Examples: Solve. Explain each step. Check for extraneous solutions. (a) ln(4x − 7) = ln(x + 5) (b) log2(5x − 17) = 3 Your Turn Solve. Explain each step. Check for extraneous solutions. (a) log(4x − 7) = log(x + 5) (b) ln(5x − 17) = 3

Examples: Solve. Explain each step. 1. log 2x + log(x − 5) = 2. 2. 2 log x - log 4 = 2 Your Turn Solve. Explain each step. 1. log6 6x + log6(x − 1) = 2.

Group Consensus Solve the equation. Check for extraneous solutions. 1. ln(7x − 4) = ln(2x + 11) 2. log2(x − 6) = 5 3. log 5x + log(x − 1) = 2 4. log4(x + 12) + log4 x = 3

Practice to Strengthen Understanding Exit Question Why is it important to check your solution when solving logarithmic equations? Practice to Strengthen Understanding Hmwk #12 BI p338-9 #21-32all, 34-42 even