# L23 - Lecture 23 Section 3.4 Exponential and Logarithmic...

This preview shows pages 1–5. Sign up to view the full content.

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 23: Section 3.4 Exponential and Logarithmic Equations Two basic strategies for solving exponential or logarithmic equations: 1. One-to-One Properties u1D44E u1D465 = u1D44E u1D466 if and only if log u1D44E u1D465 = log u1D44E u1D466 if and only if 2. Inverse Properties u1D44E log u1D44E u1D465 = log u1D44E u1D44E u1D465 = ex. Solve for u1D465 : 1) 2 u1D465 = 64 2) ln u1D465 − 2 ln 2 = 0 3) u1D452 u1D465 = 5 4) log u1D465 = − 2 Solving Exponential Equations 1. Isolate the exponential expression on one side of the equation. 2. Take the logarithm of each side, then use the Properties of Logarithms to bring down the expo- nent. 3. Solve for the variable. ex. Solve for u1D465 : 1) 3 u1D452 2 − u1D465 = 5 2) 5 − u1D465 2 = 2 ex. Solve for u1D465 : 5 u1D465 − 1 = 3 2 − u1D465 ex. Solve for u1D465 : u1D452 2 u1D465 − u1D452 u1D465 − 6 = 0 Solving Logarithmic Equations 1. Isolate the logarithmic term on one side of the equation; you may need to first combine the logarithmic terms.logarithmic terms....
View Full Document

## This note was uploaded on 12/27/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

### Page1 / 10

L23 - Lecture 23 Section 3.4 Exponential and Logarithmic...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online