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- Sistemas de desigualdades paso a paso
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- Solución de desigualdades trigonométricas en línea
- Resolución de desigualdades exponenciales en línea
- Resolución de desigualdades con un módulo en línea
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¿Cómo usar?
- Desigualdades:
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x^2-10x<0
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(x-2)^2/(x-1)<0
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-x^2+3x-2<0
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4x-4>=9x+6
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Expresiones idénticas
- ocho /log2 uno 6x>= tres /log28x+1/log22x
- 8 dividir por logaritmo de 216x más o igual a 3 dividir por logaritmo de 28x más 1 dividir por logaritmo de 22x
- ocho dividir por logaritmo de 2 uno 6x más o igual a tres dividir por logaritmo de 28x más 1 dividir por logaritmo de 22x
- 8 dividir por log216x>=3 dividir por log28x+1 dividir por log22x
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Expresiones semejantes
- 8/log216x>=3/log28x-1/log22x
8/log216x>=3/log28x+1/log22x desigualdades
Solución
Ha introducido
[src]
8 3 1 ---------- >= --------- + --------- log(216*x) log(28*x) log(22*x)
$$\frac{8}{\log{\left(216 x \right)}} \geq \frac{3}{\log{\left(28 x \right)}} + \frac{1}{\log{\left(22 x \right)}}$$
8/log(216*x) >= 3/log(28*x) + 1/log(22*x)
Solución de la desigualdad en el gráfico
Respuesta rápida
[src]
/ / _______________________________________________________________________________________________________ \ _______________________________________________________________________________________________________ \ | | / 2 2 2 | / 2 2 2 | | | -\/ 25*log (22) + 49*log (28) + 144*log (6) - 120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22) | \/ 25*log (22) + 49*log (28) + 144*log (6) - 120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22) | | | ------------------------------------------------------------------------------------------------------------ | ---------------------------------------------------------------------------------------------------------- | | | ___ 3/8 8 ____ 8 | ___ 3/8 8 ____ 8 | | |3*\/ 3 *11 *\/ 14 *e | 3*\/ 3 *11 *\/ 14 *e | Or|And(1/216 < x, x < 1/28), And|---------------------------------------------------------------------------------------------------------------------------------- <= x, x < 1/22|, x = 0, -------------------------------------------------------------------------------------------------------------------------------- <= x| \ \ 154 / 154 /
$$\left(\frac{1}{216} < x \wedge x < \frac{1}{28}\right) \vee \left(\frac{3 \cdot 11^{\frac{3}{8}} \sqrt[8]{14} \sqrt{3}}{154 e^{\frac{\sqrt{- 120 \log{\left(6 \right)} \log{\left(28 \right)} - 58 \log{\left(22 \right)} \log{\left(28 \right)} + 24 \log{\left(6 \right)} \log{\left(22 \right)} + 25 \log{\left(22 \right)}^{2} + 144 \log{\left(6 \right)}^{2} + 49 \log{\left(28 \right)}^{2}}}{8}}} \leq x \wedge x < \frac{1}{22}\right) \vee x = 0 \vee \frac{3 \cdot 11^{\frac{3}{8}} \sqrt[8]{14} \sqrt{3} e^{\frac{\sqrt{- 120 \log{\left(6 \right)} \log{\left(28 \right)} - 58 \log{\left(22 \right)} \log{\left(28 \right)} + 24 \log{\left(6 \right)} \log{\left(22 \right)} + 25 \log{\left(22 \right)}^{2} + 144 \log{\left(6 \right)}^{2} + 49 \log{\left(28 \right)}^{2}}}{8}}}{154} \leq x$$
(x = 0))∨((1/216 < x)∧(x < 1/28))∨(3*sqrt(3)*11^(3/8)*14^(1/8)*exp(sqrt(25*log(22)^2 + 49*log(28)^2 + 144*log(6)^2 - 120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22))/8)/154 <= x)∨((x < 1/22)∧(3*sqrt(3)*11^(3/8)*14^(1/8)*exp(-sqrt(25*log(22)^2 + 49*log(28)^2 + 144*log(6)^2 - 120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22))/8)/154 <= x)
Respuesta rápida 2
[src]
_______________________________________________________________________________________________________ _______________________________________________________________________________________________________
/ 2 2 2 / 2 2 2
-\/ 25*log (22) + 49*log (28) + 144*log (6) - 120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22) \/ 25*log (22) + 49*log (28) + 144*log (6) - 120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22)
------------------------------------------------------------------------------------------------------------ ----------------------------------------------------------------------------------------------------------
___ 3/8 8 ____ 8 ___ 3/8 8 ____ 8
3*\/ 3 *11 *\/ 14 *e 3*\/ 3 *11 *\/ 14 *e
{0} U (1/216, 1/28) U [----------------------------------------------------------------------------------------------------------------------------------, 1/22) U [--------------------------------------------------------------------------------------------------------------------------------, oo)
154 154
$$x\ in\ \left\{0\right\} \cup \left(\frac{1}{216}, \frac{1}{28}\right) \cup \left[\frac{3 \cdot 11^{\frac{3}{8}} \sqrt[8]{14} \sqrt{3}}{154 e^{\frac{\sqrt{- 120 \log{\left(6 \right)} \log{\left(28 \right)} - 58 \log{\left(22 \right)} \log{\left(28 \right)} + 24 \log{\left(6 \right)} \log{\left(22 \right)} + 25 \log{\left(22 \right)}^{2} + 144 \log{\left(6 \right)}^{2} + 49 \log{\left(28 \right)}^{2}}}{8}}}, \frac{1}{22}\right) \cup \left[\frac{3 \cdot 11^{\frac{3}{8}} \sqrt[8]{14} \sqrt{3} e^{\frac{\sqrt{- 120 \log{\left(6 \right)} \log{\left(28 \right)} - 58 \log{\left(22 \right)} \log{\left(28 \right)} + 24 \log{\left(6 \right)} \log{\left(22 \right)} + 25 \log{\left(22 \right)}^{2} + 144 \log{\left(6 \right)}^{2} + 49 \log{\left(28 \right)}^{2}}}{8}}}{154}, \infty\right)$$
x in Union(FiniteSet(0), Interval.open(1/216, 1/28), Interval.Ropen(3*11^(3/8)*14^(1/8)*sqrt(3)*exp(-sqrt(-120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22) + 25*log(22)^2 + 144*log(6)^2 + 49*log(28)^2)/8)/154, 1/22), Interval(3*11^(3/8)*14^(1/8)*sqrt(3)*exp(sqrt(-120*log(6)*log(28) - 58*log(22)*log(28) + 24*log(6)*log(22) + 25*log(22)^2 + 144*log(6)^2 + 49*log(28)^2)/8)/154, oo))