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Algebra 2 - Week Five

Printable Version of this lesson board in PDF format

High School Algebra 2

Week 5 May 4-May 8

Weekly Packet

Math Objectives: Students will be able to:

  • use like bases to solve exponential equations.
  • use logarithms to solve exponential equations.

Instructional Videos

Khan Academy
Solve using same base
Solve using logarithms

YouTube
Both methods

IXL
(use Clever to Access IXL)

(Alg2) S4: Solve exponential equations using factoring
(Alg2) S5: Solve exponential equations using common logarithms
(Alg2) S6: Solve exponential equations using natural logarithms

Your goal is a minimum Smart Score of 80

Explanation Websites

Solve using same bases
Math warehouse:
Has embedded practice
Purplemath

Solve using logarithms:
MathBitsNotebook
Purplemath

Activities/Projects/Extensions:

Illustrative Mathematics
Solving exponential equations
Khan Academy
Video: Challenging equations
Practice: Challenging equations

Independent Practice

Problem Set 1: Solve using same bases (includes answers)

Problem Set 2: Solve using logarithms (includes answers)

Self-Check / Formative Assessment

Quizziz – Solve using same bases.

Quizziz – Solve using logarithms

Key Vocabulary / Formulas/ Things to Remember

If bm=bn, then m=n

To solve an exponential equation by expressing each side as a power of the same base:

  • Rewrite the equation in the form:

bm=bn

  • Set

m=n

  • Solve for the variable.

Change of base formula:
logbA=log Alog b or
logbA=ln Aln b

To solve an exponential equation by using logarithms:

  • Isolate the exponential expression.
  • Take the common logarithm or natural logarithm of both sides of the equation.
  • Solve for the variable.

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