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Skill 17: Solving Logarithmic and Exponential Equations
Please have your Skill #16 IP out on your desk, ready to be checked.
Review –Three basic Property of logarithmic
The inverse property
Using the Inverse Property & Change of Base Properties of LogarithmsExample #1: Simplify the expression:
Using the Inverse Property & Change of Base Properties of LogarithmsExample #2: Simplify the expression:
You Try: Using the Inverse Property
1. Simplify
2. Simplify
3. [Challenge]
The Change of Base Property of Logarithms
What’s the point of changing the base of a logarithm??
𝒍𝒐𝒈𝒃𝒙=𝒍𝒐 𝒈𝒄 𝒙𝒍𝒐 𝒈𝒄𝒃
Using the Inverse Property & Change of Base Properties of LogarithmsExample #3: Evaluate
𝒍𝒐𝒈𝒃𝒙=𝒍𝒐 𝒈𝒄 𝒙𝒍𝒐 𝒈𝒄𝒃
Using the Inverse Property & Change of Base Properties of LogarithmsExample #3: Evaluate
𝒍𝒐𝒈𝒃𝒙=𝒍𝒐 𝒈𝒄 𝒙𝒍𝒐 𝒈𝒄𝒃
You Try: Using the Change of Base Property
1. Evaluate
2. Evaluate
3. [Challenge] If , what is the value of
Solving Exponential and Logarithmic Equations
Solving Exponential Equations
Example #5: Solve
Solving Exponential Equations
Example #6: Solve
You Try: Solving Exponential Equations
Solve.
1. [Challenge]
Solving Logarithmic Equations
Example #7: Solve
Solving Logarithmic Equations
Example #8: Solve
Solving Logarithmic Equations
Example #9: Solve
You Try: Solving Logarithmic Equations
Solve.
1. 7
Mixed Practice Time!Work with your partner to answer the Mixed Practice questions at the end of our notes. Be sure that you both agree on your answers!
Expectations:• Focused, on-task conversations• Work with your partner only• Stuck? Discuss with your partner, of course. Then, ask me.• Finished? Raise your hand, and I’ll check your work.
Exit Quiz
1. Evaluate
2. Evaluate
3. Solve.
4. Solve
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