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Academy Algebra II/Trig 6.6: Solve Exponential and Logarithmic Equations Unit 8 Test (6.3-6.8): Friday 3/22

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Property of Equality for Exponential Equations

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Solve the equation. (Type 1) If the equation is a log = log with the same base, make the expressions equal and solve. 4x – 7 = x + 5 3x = 12 x = 4

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Solve the equation. (Type 1)

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Solve the equation. (Type 2) If the equation is a log = number, then “snail” it (write as a power).

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Solve the equation. (Type 2)

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Academy Algebra II/Trig 6.6: Solve Exponential and Logarithmic Equations HW: p.434 (62,66,70,74), p.447 (88,90,94,98) Unit 8 Test (6.3-6.8): Friday 3/22

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Solve the equation. (Type 3) Rewrite the equation so that the powers have the same base. When the equation is a power = power with the same base, make the exponents equal and solve.

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Solve the equation. (Type 3)

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Solve the equation. (Type 4) If the equation is a power = number, then log both sides with the base the same as the base of the power. Since the power is the base for the log should be 4. Solve equation using log rules. (inverse properties and change of base)

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Solve the equation. (Type 4)

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Do Now: Solve the equation.

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Academy Algebra II/Trig 6.6: Solve Exponential and Logarithmic Equations HW: p.463 (20, 22, 24, 33, 36, 42, 48) Unit 8 Test (6.3-6.8): Friday 3/22

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Examples: Solve the equation.

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