Logarithms (Leaving Cert Mathematics): Flashcards

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Logarithm is the inverse of which operation?

Exponentiation

log⁡b(x)=y\log_b(x) = y is equivalent to which exponential form?

by=xb^y = x

Constraints on base bb in log⁡b(x)\log_b(x)

b>0b > 0 and b≠1b \ne 1

Constraint on xx in log⁡b(x)\log_b(x)

x>0x > 0

What does   ⟺  \iff mean?

If and only if

Value of log⁡2(8)\log_2(8)

33

Convert 23=82^3 = 8 to logarithmic form

log⁡2(8)=3\log_2(8) = 3

If by=xb^y = x, express in logarithmic form

log⁡b(x)=y\log_b(x) = y

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