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

Academy Algebra Academy Algebra II/TrigII/Trig

6.6: Solve Exponential and 6.6: Solve Exponential and Logarithmic EquationsLogarithmic Equations

Unit 8 Test (6.3-6.8): Friday Unit 8 Test (6.3-6.8): Friday 3/22 3/22

Property of Equality for Property of Equality for Exponential EquationsExponential Equations

5x

Property of Equality for Property of Equality for Exponential EquationsExponential Equations

7x

Solve the equation. (Type 1)Solve the equation. (Type 1)

If the equation isa log = log with the same base, make the expressions equal and solve.

4x – 7 = x + 53x = 12

x = 4

Solve the equation. (Type 2)Solve the equation. (Type 2)3)15(log .)3 4 x

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

1543 x

1564 x

x565 x13


6.6: Solve Exponential and 6.6: Solve Exponential and

Logarithmic EquationsLogarithmic EquationsHW: p.434 (62,66,70,74), p.447 HW: p.434 (62,66,70,74), p.447

(88,90,94,98)(88,90,94,98)

Unit 8 Test (6.3-6.8): Friday 3/22 Unit 8 Test (6.3-6.8): Friday 3/22

Solve the equation. (Type 3)Solve the equation. (Type 3)Rewrite the equation so that the powers have the same base.

32 327 and 39

When the equation is a power = power with the same base, make the exponents equal and solve.

Solve the equation. (Type 4)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 logshould be 4.

x4

11log4log 44 x

Solve equation using log rules. (inverse properties and change of base)

11log 4x

4log

11logx

73.1x

Do Now: Solve the equation. Do Now: Solve the equation.


6.6: Solve Exponential and 6.6: Solve Exponential and Logarithmic EquationsLogarithmic Equations

HW: p.463 (20, 22, 24, 33, 36, 42, 48)HW: p.463 (20, 22, 24, 33, 36, 42, 48)Unit 8 Test (6.3-6.8): Friday 3/22 Unit 8 Test (6.3-6.8): Friday 3/22

Examples: Solve the Examples: Solve the equation. equation.

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

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