Skill 17: Solving Logarithmic and Exponential Equations.
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Transcript of Skill 17: Solving Logarithmic and Exponential Equations.
![Page 1: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/1.jpg)
Skill 17: Solving Logarithmic and Exponential Equations
Please have your Skill #16 IP out on your desk, ready to be checked.
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Review –Three basic Property of logarithmic
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The inverse property
![Page 4: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/4.jpg)
Using the Inverse Property & Change of Base Properties of LogarithmsExample #1: Simplify the expression:
![Page 5: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/5.jpg)
Using the Inverse Property & Change of Base Properties of LogarithmsExample #2: Simplify the expression:
![Page 6: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/6.jpg)
You Try: Using the Inverse Property
1. Simplify
2. Simplify
3. [Challenge]
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The Change of Base Property of Logarithms
What’s the point of changing the base of a logarithm??
𝒍𝒐𝒈𝒃𝒙=𝒍𝒐 𝒈𝒄 𝒙𝒍𝒐 𝒈𝒄𝒃
![Page 8: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/8.jpg)
Using the Inverse Property & Change of Base Properties of LogarithmsExample #3: Evaluate
𝒍𝒐𝒈𝒃𝒙=𝒍𝒐 𝒈𝒄 𝒙𝒍𝒐 𝒈𝒄𝒃
![Page 9: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/9.jpg)
Using the Inverse Property & Change of Base Properties of LogarithmsExample #3: Evaluate
𝒍𝒐𝒈𝒃𝒙=𝒍𝒐 𝒈𝒄 𝒙𝒍𝒐 𝒈𝒄𝒃
![Page 10: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/10.jpg)
You Try: Using the Change of Base Property
1. Evaluate
2. Evaluate
3. [Challenge] If , what is the value of
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Solving Exponential and Logarithmic Equations
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Solving Exponential Equations
Example #5: Solve
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Solving Exponential Equations
Example #6: Solve
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You Try: Solving Exponential Equations
Solve.
1. [Challenge]
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Solving Logarithmic Equations
Example #7: Solve
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Solving Logarithmic Equations
Example #8: Solve
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Solving Logarithmic Equations
Example #9: Solve
![Page 18: Skill 17: Solving Logarithmic and Exponential Equations.](https://reader036.fdocuments.us/reader036/viewer/2022062322/5697bf7c1a28abf838c83ec5/html5/thumbnails/18.jpg)
You Try: Solving Logarithmic Equations
Solve.
1. 7
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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.
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Exit Quiz
1. Evaluate
2. Evaluate
3. Solve.
4. Solve