Mister Exam
(5x-2)log1/3x<0 inequation
The solution
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[src]
(5*x - 2)*log(1)
----------------*x < 0
3
$$x \frac{\left(5 x - 2\right) \log{\left(1 \right)}}{3} < 0$$
x*(((5*x - 2)*log(1))/3) < 0
Detail solution
Given the inequality:
$$x \frac{\left(5 x - 2\right) \log{\left(1 \right)}}{3} < 0$$
To solve this inequality, we must first solve the corresponding equation:
$$x \frac{\left(5 x - 2\right) \log{\left(1 \right)}}{3} = 0$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
$$0 \frac{\left(-2 + 0 \cdot 5\right) \log{\left(1 \right)}}{3} < 0$$
so the inequality has no solutions
$$x \frac{\left(5 x - 2\right) \log{\left(1 \right)}}{3} < 0$$
To solve this inequality, we must first solve the corresponding equation:
$$x \frac{\left(5 x - 2\right) \log{\left(1 \right)}}{3} = 0$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$0 \frac{\left(-2 + 0 \cdot 5\right) \log{\left(1 \right)}}{3} < 0$$
0 < 0
so the inequality has no solutions
Solving inequality on a graph
Rapid solution
This inequality has no solutions