Last updated on Oct 23, 2026

Problem Solving with Logs (Leaving Cert Mathematics): Flashcards

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Problem Solving with Logs

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General equation form for bacterial growth in example

$y=Ae^{bt}$

Meaning of $t$ in $y=Ae^{bt}$

Time in hours

Meaning of $A$ and $b$ in $y=Ae^{bt}$

Constants

Initial bacteria count in the example

100

Bacteria count after 6 hours in the example

450

Value of $e^0$

$1$

Value of $A$ in the bacterial growth example

$100$

Equation after finding $A$ in the example

$y=100e^{bt}$

Value of $b$ in the example (to 2 d.p.)

$0.25$

Log property: $\log_a(x^q)$ equals

$q\log_a(x)$

Value of $\ln(e)$

$1$

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