Last updated on Oct 23, 2026

Definition of Logs (Leaving Cert Mathematics): Flashcards

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Definition of Logs

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Logarithm is the inverse of which operation?

Exponentiation

$\log_b(x) = y$ is equivalent to which exponential form?

$b^y = x$

Constraints on base $b$ in $\log_b(x)$

$b > 0$ and $b \ne 1$

Constraint on $x$ in $\log_b(x)$

$x > 0$

What does $\iff$ mean?

If and only if

Value of $\log_2(8)$

$3$

Convert $2^3 = 8$ to logarithmic form

$\log_2(8) = 3$

If $b^y = x$ , express in logarithmic form

$\log_b(x) = y$

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