IB Math HL January 2016 P2 Q4

IB Math HL January 2016 P2 Q4

8 marks
/Users/timgan/pCloud Drive/Tim Gan Math Learning Centre/Curriculum - IB/Resources - HL/Topical/REVISION 2 P2 (2016).pdf (PDF page 5, Paper 2 Question 4)

Solve the equations

  1. \(e^{2x}-14=5e^x\).[4]
  2. \((\ln x)^2-14=5\ln x\).[4]

Give the exact values of \(x\).

Solution:

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Answer:(a) \(x=\ln7\). (b) \(x=e^7\) or \(x=e^{-2}\).

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