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LFM Pure and Mechanics
Laws of Logarithms
Q4
SPS SPS SM Pure 2023 September — Question 4
Exam Board
SPS
Module
SPS SM Pure (SPS SM Pure)
Year
2023
Session
September
Topic
Laws of Logarithms
4.
Express as a single logarithm $$\log _ { a } 36 - \frac { 1 } { 2 } \log _ { a } 81 + 2 \log _ { a } 4 - 3 \log _ { a } 2$$
(ii) Hence find the value of \(a\), given $$\log _ { a } 36 - \frac { 1 } { 2 } \log _ { a } 81 + 2 \log _ { a } 4 - 3 \log _ { a } 2 = \frac { 3 } { 2 }$$
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