1 / 9

Exponential and Logarithmic Equations

Learn techniques for solving exponential and logarithmic equations both graphically and symbolically. Practice using graphical solutions, isolating coefficients, applying logarithm properties, and finding intersections. Explore real-world applications and solve challenging exercises.

elina
Download Presentation

Exponential and Logarithmic Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Exponential and Logarithmic Equations Lesson 5.6

  2. y = 0.1 (10x) y = 0.5 Solving Exponential Equations Graphically • Given • Graphical Solution • Graph each side of the equation • Use calculator to find intersection

  3. Solving Exponential Equations Symbolically • Given • Isolate the coefficientwith the exponent • Take log of bothsides • Use logarithm properties • Use division x

  4. Try It Out • Given 3(2 x – 2) = 99 • Part of class solve graphically • Part of class solve symbolically

  5. Logarithmic Equation • Consider ln 4x = 1.5 • Symbolic solution • Raise to the power of the base • Use property of logarithms • Use Division

  6. Logarithmic Equation • Graphical solution of ln 4x = 1.5 • As before graph both sides of the equation • y = ln 4x y = 1.5 • Use calculatorto find intersection

  7. Try It Out • Given • Part of class solve graphically • Part of class solve symbolically Will they ever meet again? Now what?

  8. Applications • Gambling revenues (in billions $) from 1991 to 1995 can be modeled by • x is the year, x = 0 is 1991 • When did revenues reach $45 billion?

  9. Assignment • Lesson 5.6 • Page 456 • Exercises 1 – 57 EOO 73 – 93 EOO

More Related