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