Definition of Logs (Leaving Cert Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Definition of Logs
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

A logarithm is the inverse operation of which mathematical operation?

Exponentiation

If log⁡b(x)=y\log_b(x) = y, what is the equivalent exponential form?

by=xb^y = x

What are the constraints on the base bb in log⁡b(x)\log_b(x)?

b>0b > 0 and b≠1b \ne 1

What is the constraint on xx in log⁡b(x)\log_b(x)?

x>0x > 0

What does the symbol   ⟺  \iff mean?

if and only if

What is the logarithmic form of 34=813^4 = 81?

log⁡3(81)=4\log_3(81) = 4

What is the exponential form of log⁡5(25)=2\log_5(25) = 2?

52=255^2 = 25

What is the value of log⁡2(8)\log_2(8)?

33

Which of these can be a valid base for a logarithm?

55

In log⁡b(x)=y  ⟺  by=x\log_b(x) = y \iff b^y = x, what does   ⟺  \iff allow us to do?

Replace either equation with the other

Explore Leaving Cert Mathematics Revision Notes by Topics

Indices

Logarithms

Surds

Explore Leaving Cert Mathematics Model Answers by Topics

Indices

Logarithms

Surds

Explore Leaving Cert Mathematics Flashcards by Topics

Indices

Logarithms

Surds

Explore Leaving Cert Mathematics Exam Questions by Topics

Indices

Logarithms

Surds

Join 100,000+ Leaving Cert students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.