IB Maths AA HL AA 1.2 Exponents and logarithms questions

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Question 1

Paper 1, no calculatorEasy5 marks

The concentration $C$ in $\text{mg L}^{-1}$ of a dye in a tank $t$ hours after treatment begins is modelled by

C(t)=32\left(\frac14\right)^t.

(a)

Find the concentration after $\frac32$ hours.

[2]

(b)

Determine the time at which the concentration reaches $3\text{ mg L}^{-1}$ Use logarithms and give your answer exactly in terms of $\ln$ including units.

[3]

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