1 / 10

6.4 – Solving Logarithmic Equations and Inequalities

Learn how to solve logarithmic equations & inequalities with clear steps & practice problems. Ensure bases are positive & never equal to 1. Check solutions for positivity & accuracy.

herbertglover
Download Presentation

6.4 – Solving Logarithmic Equations and Inequalities

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. 6.4 – Solving Logarithmic Equations and Inequalities Objective: TSW solve logarithmic equations and inequalities.

  2. Logarithmic equation – an equation that contains one or more logarithm. REMEMBER… REMEMBER… For x > 0 and b > 0, and b = 1 So…x and b MUST be positive and b can never equal 1 (this is why we have asymptotes in our graphs) Logarithmic form: y = logbx Exponential Form: by = x.

  3. To Solve a Logarithm with Only ONE log…. 1. Rewrite the logarithm 2. Break down each side so bases are equal 3. Solve for the exponent. 4. Check Solution to be sure the number within the log is positive. To Solve a Logarithm with a log on each side… 1. Make sure the log and the base are IDENTICAL. 2. If the logs are identical, then the numbers within in the log are identical so set them equal. 3. Solve for x…YOU MAY HAVE TO FACTOR! 4. Check Solution to be sure x is positive!

  4. Examples: Solve Each Equation 1. 2.

  5. 3. 4.

  6. 5. 6.

  7. Examples…Solve Each Equation 7.

  8. Examples…Solve Each Equation 8.

  9. Examples…Solve Each Equation 9.

  10. Homework! pgs. 504-507 #’s 1-17(odds), 23-29(odds), 49-57(odds)

More Related