Logarithms (Leaving Cert Applied Maths): Flashcards

📚Flashcards
Logarithms
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

13 cards from this deck

Show

Operation that logarithms reverse

Raising numbers to powers

am=na^m = n in logarithmic form

log⁡an=m\log_a n = m

Restrictions on base aa in log⁡an\log_a n

Positive and not equal to 1

Product rule: log⁡a(xy)=?\log_a(xy) = ?

log⁡ax+log⁡ay\log_a x + \log_a y

Quotient rule: log⁡a(xy)=?\log_a(\frac{x}{y}) = ?

log⁡ax−log⁡ay\log_a x - \log_a y

Power rule: log⁡a(xp)=?\log_a(x^p) = ?

plog⁡axp \log_a x

Inverse relationship: log⁡a(ax)=?\log_a(a^x) = ?

xx

If log⁡ab=log⁡ac\log_a b = \log_a c, then...

b=cb = c

Domain requirement for log arguments

Must be positive

Base of natural logarithms

ee (approximately 2.718)

Notation for log⁡e\log_e

ln⁡\ln

25=322^5 = 32 in logarithmic form

log⁡232=5\log_2 32 = 5

Why verify solutions in log equations?

To ensure arguments remain positive

Explore Leaving Cert Applied Maths Revision Notes by Topics

Explore Leaving Cert Applied Maths Model Answers by Topics

Explore Leaving Cert Applied Maths Quizzes by Topics

Explore Leaving Cert Applied Maths Exam Questions by Topics

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

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