To solve:
The given equation algebraically. Round final answer to three decimal places. Use a graphing utility to verify your answer.
Answer to Problem 114E
The solution of our given equation is
Explanation of Solution
Given:
A logarithmic equation:
Calculation:
We will use logarithmic properties to solve our given equation as shown below:
Now, we will use
Let us verify our solutions.
Since both sides of equation are not equal, therefore,
Since both sides of equation are equal, therefore,
Upon graphing our given function, we will get our required graph as shown below:
Upon looking at our given graph, we can see that the solution of our given equationis
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning