QCAA Maths Methods Logarithmic Functions Mini Test 2
External Assessment Paper 1 — Technology-free
Number of marks: 10
Perusal time: 1 minute
Writing time: 15 minutes
Section 2
Instructions
• Write using black or blue pen.
• Questions worth more than one mark require mathematical reasoning and/or working to be shown to support answers.
• If you need more space for a response, use the additional pages at the back of this book.
– On the additional pages, write the question number you are responding to.
– Cancel any incorrect response by ruling a single diagonal line through your work.
– Write the page number of your alternative/additional response, i.e. See page …
– If you do not do this, your original response will be marked.
• This section has nine questions and is worth 45 marks.
Solve for \(x\) in the equation \(4 + 7e^{-2x} = 3e^{2x}\).
Solve for \(x\) in the following.
a) \(\ln(2x) = 5\) [2 marks]
b) \(\log_4(4x+16) - \log_4(x^2 - 2) = 1\) [3 marks]
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