Logarithm Basics Part I

Algebra Level 5

\[\log_{A}(x^2+15)>\log_{A}(8x)\] The values of \(x\) satisfying the above inequality are?

Details & Assumptions :

\(A=\frac{1}{3} \times \text{Area of triangle whose vertices are roots of } z^3+iz^2+2i=0\)
\(i=\sqrt{-1}\)
\(z \in \mathbb{C}\)

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