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  • Inequation:
  • x/(x^2+2)>x/2
  • x^2+9p^2+2x+6y+2>=0
  • log1/2*log5(x-2)>0
  • (x+6*sqrt(x)+28)*1/120<(2-sqrt(x))*1/(x-6*sqrt(x)+8)

  • Identical expressions

  • x^ two *log(sixteen)x>=log(two)(x^ five)+x*log(sixteen)x
  • x squared multiply by logarithm of (16)x greater than or equal to logarithm of (2)(x to the power of 5) plus x multiply by logarithm of (16)x
  • x to the power of two multiply by logarithm of (sixteen)x greater than or equal to logarithm of (two)(x to the power of five) plus x multiply by logarithm of (sixteen)x
  • x2*log(16)x>=log(2)(x5)+x*log(16)x
  • x2*log16x>=log2x5+x*log16x
  • x²*log(16)x>=log(2)(x⁵)+x*log(16)x
  • x to the power of 2*log(16)x>=log(2)(x to the power of 5)+x*log(16)x
  • x^2log(16)x>=log(2)(x^5)+xlog(16)x
  • x2log(16)x>=log(2)(x5)+xlog(16)x
  • x2log16x>=log2x5+xlog16x
  • x^2log16x>=log2x^5+xlog16x

  • Similar expressions

  • x^2*log(16)x>=log(2)(x^5)-x*log(16)x
Solving inequalities/ x^2*log(16)x>=log(2)(x^5)+x*log(16)x

x^2*log(16)x>=log(2)(x^5)+x*log(16)x inequation

A inequation with variable

The solution

You have entered [src] 
 2                      5              
x *log(16)*x >= log(2)*x  + x*log(16)*x
$$x x^{2} \log{\left(16 \right)} \geq x^{5} \log{\left(2 \right)} + x x \log{\left(16 \right)}$$ 
x*(x^2*log(16)) >= x^5*log(2) + x*(x*log(16))
Solving inequality on a graph
Rapid solution 2 [src] 
                                     ____________       
                 2/3        3 ___ 3 /       ____        
              2*6           \/ 6 *\/  9 + \/ 33         
(-oo, - ----------------- - ---------------------] U {0}
             ____________             3                 
          3 /       ____                                
        3*\/  9 + \/ 33
$$x\ in\ \left(-\infty, - \frac{\sqrt[3]{6} \sqrt[3]{\sqrt{33} + 9}}{3} - \frac{2 \cdot 6^{\frac{2}{3}}}{3 \sqrt[3]{\sqrt{33} + 9}}\right] \cup \left\{0\right\}$$ 
x in Union(FiniteSet(0), Interval(-oo, -6^(1/3)*(sqrt(33) + 9)^(1/3)/3 - 2*6^(2/3)/(3*(sqrt(33) + 9)^(1/3))))
Rapid solution [src] 
  /   /                               _______________         \       \
  |   |                            3 /          ____          |       |
  |   |               4            \/  54 + 6*\/ 33           |       |
Or|And|x <= - ------------------ - ------------------, -oo < x|, x = 0|
  |   |          _______________           3                  |       |
  |   |       3 /          ____                               |       |
  \   \       \/  54 + 6*\/ 33                                /       /
$$\left(x \leq - \frac{\sqrt[3]{6 \sqrt{33} + 54}}{3} - \frac{4}{\sqrt[3]{6 \sqrt{33} + 54}} \wedge -\infty < x\right) \vee x = 0$$ 
(x = 0))∨((-oo < x)∧(x <= -4/(54 + 6*sqrt(33))^(1/3) - (54 + 6*sqrt(33))^(1/3)/3)
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