Q269 · Practice questionTechnology-freeSimple familiar3 marks
QUESTION 269 (3 marks)
Consider the equation .
a)[1 mark]
State the domain restriction imposed by the logarithms.
b)[2 marks]
Solve the equation exactly.
WORKED SOLUTION
3 marksPractice marking scheme
ANSWER
a) . b) .
Worked solution
a) Both arguments must be positive, giving .
b) , so and . Only satisfies the domain restriction.
Exact answers unless rounding is specified; equivalent forms accepted.
a) States x > 1.
b) Combines logarithms and obtains x squared = 9.
b) Selects x = 3 using the domain.
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