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7.5 Exponential and Logarithmic Equations

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Presentation on theme: "7.5 Exponential and Logarithmic Equations"— Presentation transcript:

1 7.5 Exponential and Logarithmic Equations
Solve problems using exponential functions requiring the use of logarithms for their solutions.

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

3 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)

4 Examples: 5. 6.

5 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.

6 Examples 11. 12. 13.

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


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