7.5 Exponential and Logarithmic Equations

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Objectives Solve exponential and logarithmic equations and equalities.

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Presentation transcript:

7.5 Exponential and Logarithmic Equations 3103.3.13 Solve problems using exponential functions requiring the use of logarithms for their solutions.

Objectives Solve exponential and logarithmic equations. Solve problems involving exponential and logarithmic equations.

Exponential Equations An exponential equation is an equation containing one or more expressions that have a variable as an exponent. To solve exponential equations: Try writing them so that the bases are all the same Take the logarithm of both sides. If then, x = y (b cannot equal 0 or 1). If a = b , then log a = log b (a>0, b>0)

Examples: 1. 2. 3. 4. 5. 6.

Logarithmic Equations A logarithmic equation is an equation with a logarithmic expression that contains a variable. If then x = y. * Watch out for solutions that are false!! You have to check your answer(s) to make sure they are solutions to original equation.

Examples 7. 8. 9. 10. 11. 12. 13.

Circle or highlight your answers!!  Assignment: Pg. 526 2-7; 9-10 Circle or highlight your answers!! 