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VICMath MethodsQuick questions
Unit 3
Quick questions on Exponential and logarithmic functions: VCE Math Methods Unit 3
5short 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 $\ln $ as $\ln + \ln $?Show answer
This is wrong. The product law $\ln(ab) = \ln(a) + \ln(b)$ applies only to products, not sums.
What is forgetting domain restrictions when solving log equations?Show answer
After solving, check that all $\log$ arguments are positive. Otherwise you may include spurious solutions.
What is confusing the vertical and horizontal asymptotes?Show answer
Exponentials have a horizontal asymptote at $y = 0$; logs have a vertical asymptote at $x = 0$.
What is treating $e$ like an unknown variable?Show answer
$e$ is a constant ($e \approx 2.718$); $\ln(e) = 1$, not $\ln(e^x)$.
What is decimal approximations on Paper 1?Show answer
When the question asks for exact form, give answers like $\ln 3$ or $\frac{1 + \sqrt{13}}{2}$, not $1.10$ or $2.30$.
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