Logressions

Algebra Level 3

\(x,y,z\) are real numbers that satisfy the equation below

\[\large \log (x-2y+z)+\log (x+z)=2\log (x-z)\]

What kind of progression do \(x,y,z\) form?

Details and Assumptions

  • \(AP\) denotes Arithmetic Progression

  • \(GP\) denotes Geometric Progression

  • \(HP\) denotes Harmonic Progression

  • \(AGP\) denotes Arithmetic-Geometric Progression

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