Keeper #39 Solving Logarithmic Equations and Inequalities

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Presentation transcript:

Keeper #39 Solving Logarithmic Equations and Inequalities

Solving Exponential Equations Review

Solving Exponential Equations Review

Solving Exponential Equations Isolate the term with the variable. On both sides, take the log with the same base as the exponential term. Simplify using change of base and solve.

Solving Exponential Equations

Rewriting Equations to Solve

Solving Exponential Equations

Solving Exponential Equations

Solving Exponential Equations

Solving Exponential Equations

Solving Exponential Equations

Solving Exponential Equations

Solving Logarithmic Equations Isolate the logarithm. Write in exponential form (inverse property). Solve for the variable.

Solving Logarithmic Equations

Solving Logarithmic Equations

Solving Logarithmic Equations

Solving Logarithmic Equations

Solving Logarithmic Equations

Solving Logarithmic Equations

Solving Logarithmic Equations

Solving Logarithmic Equations Sometimes we have to condense first!!

Solving Logarithmic Equations

Solving Logarithmic Equations

Logarithmic Inequalities Steps: Create and solve the inequality as normal by converting to exponent form. Take the expression of the logarithm and determine where the value is greater than 0. This will create the bound of the equation. Compare the two inequalities and determine if the boundary is needed for the inequality solution.

Example

Example

Example

Example

Example