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Mathematical Methods — Question 10

QCAA 2022, Paper 2 · 1 mark

Q10 · 2022 · Technology-activeSimple familiar1 mark

QUESTION 10

The solution of

e^{2x-3}=42

is

(A)

1.48

(B)

2.31

(C)

3.37

(D)

4.54

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer C

1 mark

ANSWER

C —

3.37

Worked solution

2x-3=\ln42

, so

x=(3+\ln42)/2\approx3.37

; C.

Selects option C.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

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