To solve: the given equation.
Given information:
The equation:
Definition Used:
Common logarithm- Base 10:
The common logarithmic function
Property Used:
Product rule:
Quadratic Formula:
If
Explanation:
Consider the given equation:
Using the product rule, this equation can be rewritten as:
By the definition of common logarithm, this is equivalent to,
Simplify,
By quadratic formula, the solutions of this quadratic equation are:
Now, as logarithm is not defined for negative values, so
Therefore,
Hence, solution is:
Chapter 3 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 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
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