L21 - Lecture 21: Section 3.2 Logarithmic Functions Recall...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 21: Section 3.2 Logarithmic Functions Recall the graph of exponential function u1D453 ( u1D465 ) = u1D44E u1D465 , u1D44E > 1: (0,1) Since u1D453 ( u1D465 ) is one-to-one, it has an inverse function. Def. The logarithmic function with base u1D44E , where u1D44E > 0 and u1D44E = 1 is written u1D453 ( u1D465 ) = log u1D44E u1D465 and is defined by the relationship u1D466 = log u1D44E u1D465 if and only if ex. Write in exponential form: 1) log 3 uni0028.alt03 1 9 uni0029.alt03 = 2 2) log u1D452 (3 u1D465 + 1) = 2 ex. Write in logarithmic form: 4 1 . 5 = 8 ex. Evaluate: 1) log 2 64 = 2) log 3 1 = 3) log 3 3 = 4) log 10 uni0028.alt03 1 1000 uni0029.alt03 = 5) log 16 4 = 6) log 2 ( 1) = 7) log 2 0 = Properties of Logarithms 1. Recall: If u1D466 = log u1D44E u1D465 , then u1D465 = That is, u1D465 > 0. 2. log u1D44E 1 = 3. log u1D44E u1D44E = 4. Inverse Properties: log u1D44E u1D44E u1D465 = for all real number u1D465 u1D44E log u1D44E u1D465 = for u1D465 > 5. One-to-One Properties:...
View Full Document

Page1 / 10

L21 - Lecture 21: Section 3.2 Logarithmic Functions Recall...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online