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log(0.2)(x²+6x+8)>log(0.2)(5x+10) inequation

A inequation with variable

The solution

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log(1/5)*\x  + 6*x + 8/ > log(1/5)*(5*x + 10)
$$\left(\left(x^{2} + 6 x\right) + 8\right) \log{\left(\frac{1}{5} \right)} > \left(5 x + 10\right) \log{\left(\frac{1}{5} \right)}$$
(x^2 + 6*x + 8)*log(1/5) > (5*x + 10)*log(1/5)
Solving inequality on a graph
Rapid solution 2 [src]
(-2, 1)
$$x\ in\ \left(-2, 1\right)$$
x in Interval.open(-2, 1)
Rapid solution [src]
And(-2 < x, x < 1)
$$-2 < x \wedge x < 1$$
(-2 < x)∧(x < 1)