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)

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.

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…

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 = c) x = ln 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. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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.

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, odd) HW #84 Final Review Study Guide (1-25) – part 1 HW #85 Final Review Study Guide (26-50) – part 2