Solving a logarithmic equation PROBLEM TYPE 2

Solving a logarithmic equation PROBLEM TYPE 2 - for...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Solving a logarithmic equation: Problem type 2 Solve for : . (If there is more than one solution, write the solutions as a list.) We first rewrite so that one side of the equation has only logarithmic terms: . Next we use the rule for logarithm of a quotient to combine the logarithmic terms: . Writing the last equation in exponential form , we obtain . Using the method of cross products , we rewrite the previous equation and solve for . Therefore, is the solution of the equation . However, logarithms are defined
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: for positive inputs only, and is a solution of the original equation only if all logarithmic terms in this equation are defined. Checking the value of with and , we have the following: • , and . Because both logarithmic terms are undefined for , is not a solution of the original equation. Therefore, the answer is: For additional explanation, see your textbook: • Section 4.4: Exponential and Logarithmic Equations No solution ....
View Full Document

This note was uploaded on 04/05/2009 for the course MATH 107 taught by Professor Self during the Spring '08 term at Washington State University .

Page1 / 2

Solving a logarithmic equation PROBLEM TYPE 2 - for...

This preview shows document pages 1 - 2. Sign up to view the full document.

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