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