TODAY IN ALGEBRA 2.0…

REVIEW: Solving Exponential Equations

Learning Target 1: 7.6 You will solve exponential equations by using logarithms

Independent Practice

Learning Target 2: 7.6 You will solve logarithmic equations

Independent Practice

WARM UP: Solve the following equations.

1. 2.

7.6 SOLVING EXPONENTIAL EQUATIONS1. SAME BASES:

• Set exponents equal to each other and solve.

2. CHANGE BASES:

• Change the base so they are the same

• Set exponents equal to each other and solve.

3. USE LOGS:

• Can’t change bases…use LOGs on BOTH sides

• Use CHANGE OF BASE FORMULA

𝑙𝑜𝑔4 𝑙𝑜𝑔4

≈𝟏 .𝟕𝟑

EXAMPLE: Solve the equation. Round your answers to the nearest hundredth.

1. 2.

PRACTICE: Solve the equation. Round your answers to the nearest hundredth.

1. 2.

EXAMPLE: Solve the equation. Round your answers to the nearest hundredth.

1. 2.

PRACTICE: Solve the equation. Round your answers to the nearest hundredth.

1. 2.

HOMEWORK #8:

Pg. 520: 12-20 evenIf finished, work on other assignments:

HW #1: Pg. 483: 28-30, 37, 38 Pg. 543: 27, 28

HW #2: Pg. 489: 1, 26, 30, 31, 33HW #3: Exponential Growth and Decay WSHW #4: Pg. 503: 3, 4, 6, 8-12, 17-27HW #5: Pg. 504: 28-36

Pg. 1016: 21-24HW #6: Pg. 510: 7-22, 33-38, 45-50HW #7: Pg. 519: 3-8

7.6 SOLVING LOGARITHMIC EQUATIONS1. SAME LOG BASES:

• Set equations equal to each other and solve.

2. ONLY ONE LOG GIVEN:

EXAMPLE: Solve the equation. Round your answers to the nearest hundredth.

1. 2.

7.6 SOLVING LOGARITHMIC EQUATIONS1. SAME LOG BASES:

• Set equations equal to each other and solve.

2. ONLY ONE LOG GIVEN:

• Use base and bring everything else to a power.

• Cancel base and log then solve.

4 4

EXAMPLE: Solve the equation. Round your answers to the nearest hundredth.

1. 2.

3 3 2 2

HOMEWORK #9:

Pg. 520: 28-32, 36 If finished, work on other assignments:

HW #1: Pg. 483: 28-30, 37, 38 Pg. 543: 27, 28

HW #2: Pg. 489: 1, 26, 30, 31, 33HW #3: Exponential Growth and Decay WSHW #4: Pg. 503: 3, 4, 6, 8-12, 17-27HW #5: Pg. 504: 28-36

Pg. 1016: 21-24HW #6: Pg. 510: 7-22, 33-38, 45-50HW #7: Pg. 519: 3-8HW #8: Pg. 520: 12-20 even