HSF.BF.B.5: Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Also written as F-BF.5 or F.BF.5

Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Example Problems
Evaluate:
Evaluate:
Evaluate:
Khan Academy Resources
Intro to logarithm propertiesIntro to LogarithmsJustifying the logarithm propertiesEvaluate logarithms (advanced)Evaluate logarithmsUse the properties of logarithmsRelationship between exponentials & logarithmsIntro to logarithmsEvaluating logarithms (advanced)Proof of the logarithm product ruleProof of the logarithm quotient and power rulesIntro to logarithm properties (1 of 2)Intro to logarithm properties (2 of 2)Using the logarithmic product ruleUsing the properties of logarithms: multiple stepsUsing the logarithmic power ruleRelationship between exponentials & logarithms: graphsRelationship between exponentials & logarithmsRelationship between exponentials & logarithms: tablesGraphical relationship between 2ˣ and log₂(x)
Goblins

1-on-1 tutoring aligned to HSF.BF.B.5. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →