Lesson 4: Solving Exponential Equations & Real-World Applications

• How do we solve exponential equations?
• When can we use the same base to solve?
• How do we use logarithms (introduction)?
• Where do exponential equations appear in real life?

Exponential equation, solve, same base, logarithm (introductory)

CCSS.MATH.9.A.REI.B.4

Description: Students solve simple exponential equations by expressing both sides with the same base. For example, 2^x = 8 becomes 2^x = 2^3, so x = 3. They apply this to real-world problems like finding when a population reaches a certain size. Purpose: To develop procedural fluency in solving exponential equations and show real-world applications. DOK Level: 2-3 (Application)

• Real-world contexts: Population, bacteria, investments, half-life
• For struggling learners: Solve equations where both sides can easily be expressed with the same base
• For advanced learners: Introduce logarithms for more complex equations
• Step-by-step guides: Provide solving steps visually

• Observation: Can students express both sides with the same base?

• Worksheet: Solve 4 exponential equations

• Real-world problem: Solve a context-based exponential equation

• Application: Determine when a quantity reaches a target value

• Exponential equation solving guides

• Same-base strategy explanation

• Practice worksheets

• Real-world context cards

• Resource: Khan Academy "Solving Exponential Equations" (adapted)