# 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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