Logarithms (VCE SSCE Mathematical Methods): Flashcards

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Logarithms
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Express ax=ya^x = y in logarithmic form

logay=x\log_a y = x

Domain of logay\log_a y

y>0y > 0 (positive values only)

Notation for logex\log_e x

lnx\ln x

Base of common logarithm

1010

loga(mn)\log_a(mn)

logam+logan\log_a m + \log_a n

loga(mn)\log_a\left(\frac{m}{n}\right)

logamlogan\log_a m - \log_a n

loga(mp)\log_a(m^p)

plogamp \log_a m

Value of loga1\log_a 1

00

Value of logaa\log_a a

11

Simplify loga(ax)\log_a(a^x)

xx

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