Math III · F-LE.4.3

Use logarithm properties to simplify numeric logarithmic expressions and estimate values.

Use logarithm properties to simplify numeric logarithmic expressions and estimate values.

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

Problem Templates In This Objective

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

Template 1

Combine a sum of logarithms using the product law

4 variants
Template 2

Simplify a difference of logarithms using the quotient law

4 variants
Template 3

Simplify logarithmic expressions using the power law

4 variants
Template 4

Condense a sum, difference, and coefficient of logarithms into a single logarithm

4 variants
Template 5

Rewrite a numeric logarithm by factoring and expanding a product

4 variants
Template 6

Estimate which two consecutive integers a logarithm lies between

4 variants
Template 7

Estimate which two integers a logarithm lies between using benchmark powers

4 variants
Template 8

Approximate a numeric logarithm by change of base to stated precision

4 variants
Template 9

Determine whether a logarithm is positive, negative, or zero

4 variants
Template 10

Compare or estimate simple logarithmic values using powers and benchmark numbers

4 variants