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LFM Pure and Mechanics
Laws of Logarithms
Q1
SPS SPS SM Pure 2020 February — Question 1
4 marks
Exam Board
SPS
Module
SPS SM Pure (SPS SM Pure)
Year
2020
Session
February
Marks
4
Topic
Laws of Logarithms
1
Given that $$2 \ln ( 3 - x ) - \ln ( 21 - 2 x ) = 0$$ show that $$x ^ { 2 } - 4 x - 12 = 0$$ [4]
Write down the roots of the equation \(x ^ { 2 } - 4 x - 12 = 0\).
State which of these two roots is not a solution of $$2 \ln ( 3 - x ) - \ln ( 21 - 2 x ) = 0$$ giving a reason for your answer.
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4
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