(The letter e represents an irrational number that has many applications in mathematics and science. The bases used most often when working with logarithms are base 10 and base e. Recall that logarithms have only a positive domain therefore, –9 is not in the domain of a logarithm. This is not possible, since 3 ywill always be a positive result. Solve the following equations, if possible. Rewrite each logarithmic equation in its equivalent exponential form. Rewrite each exponential equation in its equivalent logarithmic form. Which is read “ y equals the log of x, base b” or “ y equals the log, base b, of x.” This is read as “ y equals the log of x, base 2” or “ y equals the log, base 2, of x.”Ī logarithmic function is a function of the form This equation is rewritten as y = log 2 x. The word logarithm, abbreviated log, is introduced to satisfy this need. If x = 2 y, then y = (the power on base 2) to equal x. If x = 2 ywere to be solved for y, so that it could be written in function form, a new word or symbol would need to be introduced. Online Quizzes for CliffsNotes Algebra II Quick Review, 2nd Edition.Quiz: Binomial Coefficients and the Binomial Theorem.Binomial Coefficients and the Binomial Theorem.Quiz: Definition and Examples of Sequences.Quiz: Exponential and Logarithmic Equations.Systems of Equations Solved Algebraically.Systems of Inequalities Solved Graphically.Quiz: Systems of Equations Solved Graphically.Systems of Equations Solved Graphically.Quiz: Systems of Equations Solved Algebraically.Quiz: Solving Equations in Quadratic Form.Quiz: Solving Quadratics by the Quadratic Formula.Solving Quadratics by the Quadratic Formula.Quiz: Solving Quadratics by Completing the Square.Solving Quadratics by Completing the Square.Quiz: Solving Quadratics by the Square Root Property.Solving Quadratics by the Square Root Property.Quiz: Adding and Subtracting Radical Expressions.Adding and Subtracting Radical Expressions.Quiz: Proportion, Direct Variation, Inverse Variation, Joint Variation.Proportion, Direct Variation, Inverse Variation, Joint Variation.Quiz: Adding and Subtracting Rational Expressions.Adding and Subtracting Rational Expressions.Quiz: Trinomials of the Form ax^2 + bx + c.
Linear Equations: Solutions Using Matrices with Two Variables.Quiz: Linear Equations: Solutions Using Elimination with Two Variables.Linear Equations: Solutions Using Elimination with Two Variables.Quiz: Linear Equations: Solutions Using Substitution with Two Variables.Linear Equations: Solutions Using Substitution with Two Variables.Quiz: Slopes of Parallel and Perpendicular Lines.Slopes of Parallel and Perpendicular Lines.