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LFM Pure and Mechanics
Exponential Equations & Modelling
Q2
CAIE P2 2012 June — Question 2
Exam Board
CAIE
Module
P2 (Pure Mathematics 2)
Year
2012
Session
June
Topic
Exponential Equations & Modelling
2
Given that \(5 ^ { 2 x } + 5 ^ { x } = 12\), find the value of \(5 ^ { x }\).
Hence, using logarithms, solve the equation \(5 ^ { 2 x } + 5 ^ { x } = 12\), giving the value of \(x\) correct to 3 significant figures.
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