Sr Examen

Otras calculadoras

-(1/2)^(3*x+1)+(1/2)^(3*x+2)+(1/2)^3*x=3/4 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   -1 - 3*x    -2 - 3*x   1         
- 2         + 2         + --*x = 3/4
                           3        
                          2         
$$\frac{x}{8} + \left(- \left(\frac{1}{2}\right)^{3 x + 1} + \left(\frac{1}{2}\right)^{3 x + 2}\right) = \frac{3}{4}$$
Gráfica
Respuesta rápida [src]
      /   / 3/131072\\              
     W\log\2        // + log(262144)
x1 = -------------------------------
                 3*log(2)           
$$x_{1} = \frac{W\left(\log{\left(2^{\frac{3}{131072}} \right)}\right) + \log{\left(262144 \right)}}{3 \log{\left(2 \right)}}$$
x1 = (LambertW(log(2^(3/131072))) + log(262144))/(3*log(2))
Suma y producto de raíces [src]
suma
 /   / 3/131072\\              
W\log\2        // + log(262144)
-------------------------------
            3*log(2)           
$$\frac{W\left(\log{\left(2^{\frac{3}{131072}} \right)}\right) + \log{\left(262144 \right)}}{3 \log{\left(2 \right)}}$$
=
 /   / 3/131072\\              
W\log\2        // + log(262144)
-------------------------------
            3*log(2)           
$$\frac{W\left(\log{\left(2^{\frac{3}{131072}} \right)}\right) + \log{\left(262144 \right)}}{3 \log{\left(2 \right)}}$$
producto
 /   / 3/131072\\              
W\log\2        // + log(262144)
-------------------------------
            3*log(2)           
$$\frac{W\left(\log{\left(2^{\frac{3}{131072}} \right)}\right) + \log{\left(262144 \right)}}{3 \log{\left(2 \right)}}$$
=
 /   / 3/131072\\              
W\log\2        // + log(262144)
-------------------------------
            3*log(2)           
$$\frac{W\left(\log{\left(2^{\frac{3}{131072}} \right)}\right) + \log{\left(262144 \right)}}{3 \log{\left(2 \right)}}$$
(LambertW(log(2^(3/131072))) + log(262144))/(3*log(2))
Respuesta numérica [src]
x1 = 6.00000762927349
x1 = 6.00000762927349