Math III · F-LE.4

Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.

Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.

Concept Functions
Domain Linear, Quadratic, and Exponential Models
Problem Types

Problem Templates In This Objective

13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Solve an exponential equation of the form a(b)ct=d by isolating the exponential factor and taking logarithms

4 variants
Template 2

Solve exponential equations by rewriting both sides with a common base and setting the exponents equal

4 variants
Template 3

Solve exponential equations of the form aect=d by isolating the exponential factor and using natural logarithms

4 variants
Template 4

Solve exponential equations of the form a(b)ct=d by isolating the exponential factor and taking logarithms

4 variants
Template 5

Solve an exponential equation of the form abct=d by isolating the exponential factor and taking logarithms

4 variants
Template 6

Solve an exponential equation by isolating the exponential factor and taking logarithms

4 variants
Template 7

Evaluate a logarithm by change of base to four decimals

4 variants
Template 8

Evaluate a logarithm using change of base

4 variants
Template 9

Solve and interpret an exponential threshold time

4 variants
Template 10

Separate real existence from contextual validity

4 variants
Template 11

Solve an exponential equation exactly and to four decimals

4 variants
Template 12

Solve an exponential inequality by isolating the exponential factor and using logarithms

4 variants
Template 13

Solve an exponential equation by isolating the exponential factor and taking logarithms

4 variants