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Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques.

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Presentation on theme: "Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques."— Presentation transcript:

1 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solving Exponential and Logarithmic Equations (Section 3-4)

2 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. (Pg. 139) If no logs and solving for an exponent…take log of both sides. If one log on one side… SWIRLY. If one log on each side…use one-to-one property and cancel. If more than one log on one or both sides…use properties of logs to condense first.

3 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. RECALL…

4 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Determine whether each x-value is a solution of the equation. Example 1 a) x = 1 + ln 15 b) x = 3.7081c) x = ln 16

5 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Use a graphing utility to graph f and g in the same viewing window. Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x) = g(x) algebraically. Example 2

6 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Use a graphing utility to graph f and g in the same viewing window. Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x) = g(x) algebraically. Example 3

7 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation. Example 4

8 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation. Example 5

9 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation. Example 6

10 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation. Example 7

11 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation. Example 8

12 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Simplify the expression. Example 9

13 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Simplify the expression. Example 10

14 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation algebraically. Example 11

15 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation algebraically. Example 12

16 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation algebraically. Example 13

17 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation algebraically. Example 14

18 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation algebraically. Example 15

19 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the exponential equation algebraically. Example 16

20 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. HW #82 pg 221 (1-49 odd)

21 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation algebraically. Example 17

22 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation algebraically. Example 18

23 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation algebraically. Example 19

24 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation algebraically. Example 20

25 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Solve the logarithmic equation algebraically. Example 21

26 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. Summary… If no logs and solving for an exponent…take log of both sides. If one log on one side…SWIRLY. If one log on each side…use one-to-one property and cancel. If more than one log on one or both sides…use properties of logs to condense first.

27 Essential Question: What are the 4 techniques for solving exponential/logarithmic equations? Students will write a summary discussing the different techniques used to solve an exponential or logarithmic equation. HW #83 pg 222 (51-67odd, 85-106 odd) HW #84 Final Review Study Guide (1-25) – part 1 HW #85 Final Review Study Guide (26-50) – part 2


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