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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x+18=8
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 16*x-17*y=-15
-
Expresiones idénticas
- 3log8^ dos (3x+ setenta y nueve)-14log8(3x+ setenta y nueve)+ dieciocho = cero
- 3 logaritmo de 8 al cuadrado (3x más 79) menos 14 logaritmo de 8(3x más 79) más 18 es igual a 0
- 3 logaritmo de 8 en el grado dos (3x más setenta y nueve) menos 14 logaritmo de 8(3x más setenta y nueve) más dieciocho es igual a cero
- 3log82(3x+79)-14log8(3x+79)+18=0
- 3log823x+79-14log83x+79+18=0
- 3log8²(3x+79)-14log8(3x+79)+18=0
- 3log8 en el grado 2(3x+79)-14log8(3x+79)+18=0
- 3log8^23x+79-14log83x+79+18=0
- 3log8^2(3x+79)-14log8(3x+79)+18=O
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Expresiones semejantes
- 3log8^2(3x+79)+14log8(3x+79)+18=0
- 3log8^2(3x+79)-14log8(3x-79)+18=0
- 3log8^2(3x+79)-14log8(3x+79)-18=0
- 3log8^2(3x-79)-14log8(3x+79)+18=0
3log8^2(3x+79)-14log8(3x+79)+18=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 log(3*x + 79)
3*log (8)*(3*x + 79) - 14*------------- + 18 = 0
log(8)
$$\left(\left(3 x + 79\right) 3 \log{\left(8 \right)}^{2} - 14 \frac{\log{\left(3 x + 79 \right)}}{\log{\left(8 \right)}}\right) + 18 = 0$$
Respuesta rápida
[src]
/ / 3 \\ / / 3 \\
| | 2 -6399*log (2)|| | | 2 -6399*log (2)||
| | log (2) -------------|| | | log (2) -------------||
| | 6/7 / 14___\ 3 14 || | | 6/7 / 14___\ 3 14 ||
| |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e || | |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e ||
14*re|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 14*I*im|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
79 \ \ 7 // \ \ 7 //
x1 = - -- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 3
243*log (2) 243*log (2)
$$x_{1} = - \frac{79}{3} - \frac{14 \operatorname{re}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}} - \frac{14 i \operatorname{im}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}}$$
x1 = -79/3 - 14*re(LambertW(-324*2^(6/7)*(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*2^(1/14))^(log(2)^2)*exp(-6399*log(2)^3/14)*log(2)^3/7))/(243*log(2)^3) - 14*i*im(LambertW(-324*2^(6/7)*(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*2^(1/14))^(log(2)^2)*exp(-6399*log(2)^3/14)*log(2)^3/7))/(243*log(2)^3)
Suma y producto de raíces
[src]
suma
/ / 3 \\ / / 3 \\
| | 2 -6399*log (2)|| | | 2 -6399*log (2)||
| | log (2) -------------|| | | log (2) -------------||
| | 6/7 / 14___\ 3 14 || | | 6/7 / 14___\ 3 14 ||
| |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e || | |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e ||
14*re|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 14*I*im|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
79 \ \ 7 // \ \ 7 //
- -- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 3
243*log (2) 243*log (2)
$$- \frac{79}{3} - \frac{14 \operatorname{re}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}} - \frac{14 i \operatorname{im}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}}$$
=
/ / 3 \\ / / 3 \\
| | 2 -6399*log (2)|| | | 2 -6399*log (2)||
| | log (2) -------------|| | | log (2) -------------||
| | 6/7 / 14___\ 3 14 || | | 6/7 / 14___\ 3 14 ||
| |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e || | |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e ||
14*re|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 14*I*im|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
79 \ \ 7 // \ \ 7 //
- -- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 3
243*log (2) 243*log (2)
$$- \frac{79}{3} - \frac{14 \operatorname{re}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}} - \frac{14 i \operatorname{im}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}}$$
producto
/ / 3 \\ / / 3 \\
| | 2 -6399*log (2)|| | | 2 -6399*log (2)||
| | log (2) -------------|| | | log (2) -------------||
| | 6/7 / 14___\ 3 14 || | | 6/7 / 14___\ 3 14 ||
| |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e || | |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e ||
14*re|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 14*I*im|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
79 \ \ 7 // \ \ 7 //
- -- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 3
243*log (2) 243*log (2)
$$- \frac{79}{3} - \frac{14 \operatorname{re}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}} - \frac{14 i \operatorname{im}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}}$$
=
/ / / 3 \\ / / 3 \\\
| | | 2 -6399*log (2)|| | | 2 -6399*log (2)|||
| | | log (2) -------------|| | | log (2) -------------|||
| | | 6/7 / 14___\ 3 14 || | | 6/7 / 14___\ 3 14 |||
| | |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e || 3 | |-324*2 *\372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*\/ 2 / *log (2)*e |||
-|14*re|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| + 6399*log (2) + 14*I*im|W|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||
\ \ \ 7 // \ \ 7 ///
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3
243*log (2)
$$- \frac{14 \operatorname{re}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)} + 6399 \log{\left(2 \right)}^{3} + 14 i \operatorname{im}{\left(W\left(- \frac{324 \cdot 2^{\frac{6}{7}} \left(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 \sqrt[14]{2}\right)^{\log{\left(2 \right)}^{2}} \log{\left(2 \right)}^{3}}{7 e^{\frac{6399 \log{\left(2 \right)}^{3}}{14}}}\right)\right)}}{243 \log{\left(2 \right)}^{3}}$$
-(14*re(LambertW(-324*2^(6/7)*(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*2^(1/14))^(log(2)^2)*log(2)^3*exp(-6399*log(2)^3/14)/7)) + 6399*log(2)^3 + 14*i*im(LambertW(-324*2^(6/7)*(372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872*2^(1/14))^(log(2)^2)*log(2)^3*exp(-6399*log(2)^3/14)/7)))/(243*log(2)^3)
Respuesta numérica
[src]
x1 = -26.709162638942 + 0.401837369428615*i
x1 = -26.709162638942 + 0.401837369428615*i