Review of Logarithmic Functions (HSC SSCE Mathematics Advanced): Flashcards

📚Flashcards
Review of Logarithmic Functions
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Logarithmic function definition

Inverse of an exponential function

y=log⁡exy = \log_e x means

x=eyx = e^y

log⁡eex=?\log_e e^x = ?

xx (for all real xx)

elog⁡ex=?e^{\log_e x} = ?

xx (for x>0x > 0)

Domain of y=log⁡exy = \log_e x

(0,∞)(0, \infty)

Range of y=log⁡exy = \log_e x

(−∞,∞)(-\infty, \infty)

Vertical asymptote of y=log⁡exy = \log_e x

x=0x = 0

Alternative notation for log⁡ex\log_e x

ln⁡x\ln x (natural logarithm)

ln⁡\ln button on calculator means

log⁡ex\log_e x (natural logarithm)

Change-of-base formula for log⁡bx\log_b x

log⁡exlog⁡eb\frac{\log_e x}{\log_e b}

Join 100,000+ SSCE students studying Flashcards with us.

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