Mister Exam
log(x)/log(3x-2)<2 inequation
The solution
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log(x) ------------ < 2 log(3*x - 2)
$$\frac{\log{\left(x \right)}}{\log{\left(3 x - 2 \right)}} < 2$$
log(x)/log(3*x - 2) < 2
Solving inequality on a graph
Rapid solution 2
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[2/3, 1) U (1, oo)
$$x\ in\ \left[\frac{2}{3}, 1\right) \cup \left(1, \infty\right)$$
x in Union(Interval.Ropen(2/3, 1), Interval.open(1, oo))
Rapid solution
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Or(And(2/3 <= x, x < 1), And(1 < x, x < oo))
$$\left(\frac{2}{3} \leq x \wedge x < 1\right) \vee \left(1 < x \wedge x < \infty\right)$$
((2/3 <= x)∧(x < 1))∨((1 < x)∧(x < oo))