Sr Examen

Otras calculadoras

2^(7-3x)-(1/8)^(2x+1)=0 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]
 7 - 3*x    -1 - 2*x    
2        - 8         = 0
$$- \left(\frac{1}{8}\right)^{2 x + 1} + 2^{7 - 3 x} = 0$$
Gráfica
Respuesta rápida [src]
x1 = -10/3
$$x_{1} = - \frac{10}{3}$$
       10    2*pi*I 
x2 = - -- - --------
       3    3*log(2)
$$x_{2} = - \frac{10}{3} - \frac{2 i \pi}{3 \log{\left(2 \right)}}$$
       10    2*pi*I 
x3 = - -- + --------
       3    3*log(2)
$$x_{3} = - \frac{10}{3} + \frac{2 i \pi}{3 \log{\left(2 \right)}}$$
x3 = -10/3 + 2*i*pi/(3*log(2))
Suma y producto de raíces [src]
suma
  10     10    2*pi*I      10    2*pi*I 
- -- + - -- - -------- + - -- + --------
  3      3    3*log(2)     3    3*log(2)
$$\left(- \frac{10}{3} + \left(- \frac{10}{3} - \frac{2 i \pi}{3 \log{\left(2 \right)}}\right)\right) + \left(- \frac{10}{3} + \frac{2 i \pi}{3 \log{\left(2 \right)}}\right)$$
=
-10
$$-10$$
producto
    /  10    2*pi*I \                  
-10*|- -- - --------|                  
    \  3    3*log(2)/ /  10    2*pi*I \
---------------------*|- -- + --------|
          3           \  3    3*log(2)/
$$- \frac{10 \left(- \frac{10}{3} - \frac{2 i \pi}{3 \log{\left(2 \right)}}\right)}{3} \left(- \frac{10}{3} + \frac{2 i \pi}{3 \log{\left(2 \right)}}\right)$$
=
                2  
  1000     40*pi   
- ---- - ----------
   27          2   
         27*log (2)
$$- \frac{1000}{27} - \frac{40 \pi^{2}}{27 \log{\left(2 \right)}^{2}}$$
-1000/27 - 40*pi^2/(27*log(2)^2)
Respuesta numérica [src]
x1 = 70.2742094753799
x2 = 78.2742094753799
x3 = 52.2742094753799
x4 = 82.2742094753799
x5 = -3.33333333333333
x6 = 80.2742094753799
x7 = 58.2742094753799
x8 = 98.2742094753799
x9 = 72.2742094753799
x10 = 16.2742094773936
x11 = 44.2742094753799
x12 = 106.27420947538
x13 = 24.2742094753799
x14 = 90.2742094753799
x15 = 56.2742094753799
x16 = 68.2742094753799
x17 = 76.2742094753799
x18 = 84.2742094753799
x19 = 42.2742094753799
x20 = 32.2742094753799
x21 = 86.2742094753799
x22 = 22.2742094753799
x23 = 92.2742094753799
x24 = 62.2742094753799
x25 = 28.2742094753799
x26 = 48.2742094753799
x27 = 36.2742094753799
x28 = 40.2742094753799
x29 = 66.2742094753799
x30 = 34.2742094753799
x31 = 94.2742094753799
x32 = 100.27420947538
x33 = 46.2742094753799
x34 = 60.2742094753799
x35 = 38.2742094753799
x36 = 102.27420947538
x37 = 18.2742094754114
x38 = 108.27420947538
x39 = 26.2742094753799
x40 = 50.2742094753799
x41 = 54.2742094753799
x42 = 64.2742094753799
x43 = 104.27420947538
x44 = 30.2742094753799
x45 = 110.27420947538
x46 = 96.2742094753799
x47 = 74.2742094753799
x48 = 88.2742094753799
x49 = 20.2742094753804
x49 = 20.2742094753804