Solving a logarithmic equatio PROBLEM TYPE 2 QUOTIENT

Solving a logarithmic equatio PROBLEM TYPE 2 QUOTIENT -...

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

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 product to combine the logarithmic terms: . Writing the last equation in exponential form , we obtain or . Therefore, and are the solutions of the equation . However, logarithms are defined for positive inputs only, and each of these values of is a solution of the original

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: equation only if all logarithmic terms in this equation are defined. Checking these values of with and , we have the following: • • , and . Because both logarithmic terms are defined for , is a solution of the original equation. , and . Because both logarithmic terms are defined for , is another solution of the original equation. Therefore, and are the solutions of the equation . The answer is: For additional explanation, see your textbook: • Section 4.4: Exponential and Logarithmic Equations ....
View Full Document

{[ snackBarMessage ]}

Page1 / 2

Solving a logarithmic equatio PROBLEM TYPE 2 QUOTIENT -...

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

View Full Document
Ask a homework question - tutors are online