Search
- Filter Results
- Location
- Classification
- Include attachments
- https://math.libretexts.org/Courses/Northeast_Wisconsin_Technical_College/College_Algebra_(NWTC)/05%3A_Exponential_and_Logarithmic_Functions/5.04%3A_Logarithmic_Equations_and_Inequalitiesf−1(x)=e2x−1e2x+1=ex−e−xex+e−x. (To see why we rewrite this in this form, see Exercise 51 in Section 11.10.) The domain of f−1 is \((-\i...f−1(x)=e2x−1e2x+1=ex−e−xex+e−x. (To see why we rewrite this in this form, see Exercise 51 in Section 11.10.) The domain of f−1 is (−∞,∞) and its range is the same as the domain of f, namely (−1,1).
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_(Stitz-Zeager)_-_Jen_Test_Copy/06%3A_Exponential_and_Logarithmic_Functions/6.04%3A_Logarithmic_Equations_and_Inequalities
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/06%3A_Exponential_and_Logarithmic_Functions/6.04%3A_Logarithmic_Equations_and_InequalitiesStarting with 1+2log4(x+1)=2log2(x), we gather the logs to one side to get the equation 1=2log2(x)−2log4(x+1). Moving all of the nonzero terms of \(\left(\log_{2}(x...Starting with 1+2log4(x+1)=2log2(x), we gather the logs to one side to get the equation 1=2log2(x)−2log4(x+1). Moving all of the nonzero terms of (log2(x))2<2log2(x)+3 to one side of the inequality, we have (log2(x))2−2log2(x)−3<0.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/06%3A_Exponential_and_Logarithmic_Functions/6.04%3A_Logarithmic_Equations_and_InequalitiesThis section focuses on solving logarithmic equations and inequalities. It explains methods like rewriting logarithmic expressions and using properties of logarithms, such as the product, quotient, an...This section focuses on solving logarithmic equations and inequalities. It explains methods like rewriting logarithmic expressions and using properties of logarithms, such as the product, quotient, and power rules, to simplify and solve equations. The section also covers strategies for handling inequalities involving logarithms and provides examples to apply these concepts in various mathematical problems.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/04%3A_Exponential_and_Logarithmic_Functions/4.04%3A_Logarithmic_Equations_and_InequalitiesThis section focuses on solving logarithmic equations and inequalities. It explains methods like rewriting logarithmic expressions and using properties of logarithms, such as the product, quotient, an...This section focuses on solving logarithmic equations and inequalities. It explains methods like rewriting logarithmic expressions and using properties of logarithms, such as the product, quotient, and power rules, to simplify and solve equations. The section also covers strategies for handling inequalities involving logarithms and provides examples to apply these concepts in various mathematical problems.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/06%3A_Exponential_and_Logarithmic_Functions/6.04%3A_Logarithmic_Equations_and_Inequalities
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Stitz-Zeager)/06%3A_Exponential_and_Logarithmic_Functions/6.04%3A_Logarithmic_Equations_and_Inequalitiesf−1(x)=e2x−1e2x+1=ex−e−xex+e−x. (To see why we rewrite this in this form, see Exercise 51 in Section 11.10.) The domain of f−1 is \((-\i...f−1(x)=e2x−1e2x+1=ex−e−xex+e−x. (To see why we rewrite this in this form, see Exercise 51 in Section 11.10.) The domain of f−1 is (−∞,∞) and its range is the same as the domain of f, namely (−1,1).
