Quick questions on Exponential and logarithmic functions: VCE Math Methods Unit 3

4short 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 decimal approximations on Paper 1?

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When the question asks for exact form, give answers like

\ln 3

\frac{1 + \sqrt{13}}{2}

, not

1.10

2.30

What is q1?

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Solve

e^{3x} = 5

for

x

, giving the exact value. [2 marks]

What is q2?

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Sketch features of

y = \ln(x + 3)

: state the asymptote and

x

-intercept. [3 marks]

What is q3?

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Solve

e^{2x} - 5e^x + 6 = 0

for

x

, exact form. [3 marks]

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