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Published byRoss McDonald Modified over 9 years ago
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Exponential and Logarithmic Equations Lesson 5.6
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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 )
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Solving Exponential Equations Symbolically Given Isolate the coefficient with the exponent Take log of both sides Use logarithm properties Use division x
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Try It Out Given 3(2 x – 2 ) = 99 Part of class solve graphically Part of class solve symbolically
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Logarithmic Equation Consider ln 4x = 1.5 Symbolic solution Raise to the power of the base Use property of logarithms Use Division
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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
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Try It Out Given Part of class solve graphically Part of class solve symbolically Will they ever meet again? Now what?
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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?
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Assignment Lesson 5.6 Page 456 Exercises 1 – 57 EOO 73 – 93 EOO
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