Math III · F-LE.4.1

Prove simple logarithm laws.

Prove simple logarithm laws.

Concept Functions

Domain Linear, Quadratic, and Exponential Models

Problem Types

Problem Templates In This Objective

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

Template 1

Expand a logarithm of a product without losing its domain

4 variants

Template 2

Expand a logarithm of a quotient and preserve its maximal domain

4 variants

Template 3

Use the logarithm power law without shrinking the real domain

4 variants

Template 4

Condense a sum or difference of logarithms into one logarithm

4 variants

Template 5

Find domain restrictions when applying logarithm laws

4 variants

Template 6

Audit a logarithm rewrite for equality and domain equivalence

4 variants

Template 7

Solve simple logarithmic equations by combining logs and rewriting in exponential form

4 variants

Template 8

Derive the logarithm product law from exponents

4 variants

Template 9

Derive and domain-check the logarithm power law

4 variants