Logarithms and Exponential Equations

Logarithms and Exponential Equations

Grade 11th Grade · Math · 85 min· Illustrative Mathematics

What's Included

Learning Objective

I can solve exponential equations by using logarithms.

Warm-Up Video

Khan Academy · 2:51

Solving exponential equation with logarithm | Logarithms | Algebra II | Khan Academy

Guided Notes

3 key concepts

  • 1

    To solve the equation 10^(2T-3) = 7 for T, we can rewrite it in logarithmic form.

  • 2

    The logarithmic form of 10^(2T-3) = 7 is log base 10 of 7 = 2T - 3.

  • 3

    The solution for T in terms of base 10 logarithms is T = (log base 10 of 7 + 3) / 2.

Practice Questions

12 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Solve for x in terms of base 10 logarithms: 10^(4x + 1) = 12

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides