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QLDMath MethodsQuick questions
Unit 2: Calculus
Quick questions on Logarithms and the laws of logarithms (QCE Math Methods Unit 2)
7short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is treating $\log $ as $\log x + \log y$?Show answer
Not a log law. The product law applies to $\log(xy)$, not $\log(x+y)$.
What is forgetting the base of $\log$?Show answer
In QCAA Math Methods, $\log$ without a base usually means $\log_{10}$, and $\ln$ means $\log_e$. Be explicit when answering.
What is dividing inside the log instead of subtracting outside?Show answer
$\log(20/4) = \log 5$, but it can also be expanded as $\log 20 - \log 4$. The two are equal.
What is taking log of a negative number?Show answer
$\log_b$ is only defined for positive arguments. Equations like $\log(x-3) = 1$ require $x > 3$ in the domain.
What is iA1?Show answer
Simplify a multi-term log expression using the laws; solve an exponential equation.
What is eA Paper 1?Show answer
Multiple choice on log values and law applications.
What is eA Paper 2?Show answer
A continuous compound interest or population-growth context where $\ln$ appears, followed by solving for time.
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