Solving Exponential and Logarithmic Equations (Lesson 5.7 Part 2)
Unit 5 Day 12
CED Topic(s): 2.13
Unit 5
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Day 6
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Day 8
Day 9
Day 10
Day 11
Day 12
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Day 15
Day 16
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​Overview
Students will work through 10 problems requiring them to solve exponential and logarithmic equations using a variety of strategies. The answers are all the whole numbers between 0 and 9!
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Instructions
Today’s review activity is inspired by Bryan Passwater’s Big 10 problem structure with all new problems written for the AP Precalculus level! Students should work in pairs to solve the ten problems and the solution to each problem will be a whole number between 0 and 9. No number will be repeated, so students have an easy way to catch mistakes. This activity garners great discussion among students and active debates often ensue--we’ve made it so that common mistakes are also whole number answers!
Several of the problems will have multiple solutions. In some cases, students will be prompted to choose only the positive solution. In other cases, students must recognize that some of the “solutions” are not actually defined in the original expression and therefore must be eliminated. This is an important skill when solving logarithmic equations.