# Activities

• • • ##### Subject Area

• Math: Precalculus: Exponential and Logarithmic Functions
• Math: Precalculus: Logarithmic Functions
• Math: College Algebra: Exponential and Logarithmic Functions

• ##### Author 9-12

50 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

• ##### Accessories

TI Connectivity Cable

• ##### Report an Issue

Exponentialis ~ Logarithmus

#### Activity Overview

In this story-style activity, students work through a step-by-step review of solving exponential equations using logarithms. At first, they are guided through process of using logarithms and checking them, with the help of 'Terry Plotter the mathemagician'. Then, students review identities and properties of logarithms, with trial examples of each. The objective of the activity is to connect exponential equations with their logarithmic counterparts, working with a variety of bases.

#### Before the Activity

This activity is designed for use in the Pre-Calculus, Advanced Mathematics, or Algebra 2 classroom. It uses a conversational narrative to help students 'lighten up' about solving exponential equations using logarithmic form.

Prior to the start of this activity, students should have been introduced to exponential and logarithmic forms. The activity may be used to introduce properties of logarithms, or as a review of properties. Each exponential equation applies logarithmic form for its solution, using the ability of the TI-Nspire to solve a logarithm for any base.

Prior to the activity, load the ExpLog.tns file onto class handhelds to be used by students and teacher.

#### During the Activity

This activity is designed for use in the Pre-Calculus, Advanced Mathematics, or Algebra 2 classroom. It uses a conversational narrative to help students 'lighten up' about solving exponential equations using logarithmic form.

Prior to the start of this activity, students should have been introduced to exponential and logarithmic forms. The activity may be used to introduce properties of logarithms, or as a review of properties. This activity is intended to be completed individually, as a review prior to assessment or as a segue into in-depth treatment of the properties of logarithms.

Prior to the activity, load the ExpLog.tns file onto class handhelds to be used by students and teacher.

Students should be directed NOT TO SAVE the document during or after the activity, if it is to be used as a review in subsequent classes.

#### After the Activity

Students should be directed NOT TO SAVE the document during or after the activity, if it is to be used as a review in subsequent classes.