Logarithms and Exponentials

MA-E1 is worth about 3 marks out of 100 in recent HSC Mathematics Advanced papers. Practise 17 exam-style questions (multiple choice, multi-part, numerical answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

What is the value of $lo g_{2} 32$ ?

A $4$
B $5$
C $6$
D $16$

Example 2 · 1 mark · multiple choice

Which of these is equal to $lo g_{10} 12 - lo g_{10} 3 + lo g_{10} 5$ ?

A $lo g_{10} \frac{4}{5}$
B $lo g_{10} 4$
C $lo g_{10} 14$
D $lo g_{10} 20$

Example 3 · 1 mark · multiple choice

A population grows according to $N = 500 e^{0.04 t}$ , where $t$ is in years. After how many years, to one decimal place, does the population reach $1000$ ?

A $12.5$
B $17.3$
C $25.0$
D $34.7$

Answers and worked solutions appear when you practise these questions.

Logarithms and Exponentials

Example questions

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