Exponential and Logarithmic Equations Lesson 5.6.

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Presentation transcript:

Exponential and Logarithmic Equations Lesson 5.6

Solving Exponential Equations Graphically Given Graphical Solution Graph each side of the equation Use calculator to find intersection y = 0.5 y = 0.1 (10 x )

Solving Exponential Equations Symbolically Given Isolate the coefficient with the exponent Take log of both sides Use logarithm properties Use division x

Try It Out Given 3(2 x – 2 ) = 99 Part of class solve graphically Part of class solve symbolically

Logarithmic Equation Consider ln 4x = 1.5 Symbolic solution Raise to the power of the base Use property of logarithms Use Division

Logarithmic Equation Graphical solution of ln 4x = 1.5 As before graph both sides of the equation y = ln 4x y = 1.5 Use calculator to find intersection

Try It Out Given Part of class solve graphically Part of class solve symbolically Will they ever meet again? Now what?

Applications Gambling revenues (in billions $) from 1991 to 1995 can be modeled by x is the year, x = 0 is 1991 When did revenues reach $45 billion?

Assignment Lesson 5.6 Page 456 Exercises 1 – 57 EOO 73 – 93 EOO