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La ecuación:
Ecuación 3^x=4
Ecuación 6*x^2+x-7=0
Ecuación 15-16x+4x^2=0
Ecuación 2(2+y)=19-3y
Expresar {x} en función de y en la ecuación:
6*x-19*y=-18
3*x-12*y=-14
17*x-19*y=-12
-4*x+14*y=-2
Expresiones idénticas
ocho ^(- cuatro *x)* dos ^- tres = ocho ^(tres / dos)*(dos *sqrt(dos))^-x
8 en el grado ( menos 4 multiplicar por x) multiplicar por 2 en el grado menos 3 es igual a 8 en el grado (3 dividir por 2) multiplicar por (2 multiplicar por raíz cuadrada de (2)) en el grado menos x
ocho en el grado ( menos cuatro multiplicar por x) multiplicar por dos en el grado menos tres es igual a ocho en el grado (tres dividir por dos) multiplicar por (dos multiplicar por raíz cuadrada de (dos)) en el grado menos x
8^(-4*x)*2^-3=8^(3/2)*(2*√(2))^-x
8(-4*x)*2-3=8(3/2)*(2*sqrt(2))-x
8-4*x*2-3=83/2*2*sqrt2-x
8^(-4x)2^-3=8^(3/2)(2sqrt(2))^-x
8(-4x)2-3=8(3/2)(2sqrt(2))-x
8-4x2-3=83/22sqrt2-x
8^-4x2^-3=8^3/22sqrt2^-x
8^(-4*x)*2^-3=8^(3 dividir por 2)*(2*sqrt(2))^-x
Expresiones semejantes
8^(4*x)*2^-3=8^(3/2)*(2*sqrt(2))^-x
8^(-4*x)*2^+3=8^(3/2)*(2*sqrt(2))^-x
8^(-4*x)*2^-3=8^(3/2)*(2*sqrt(2))^+x
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x+5)=2
sqrt(1-x^2)/x=-187/156
sqrt(x^2)=sqrt(-2x)
sqrt(((0,9-0,3)*(0,9-0,3))+((2,5-0,9)*(2,5-0,9)))=x
sqrt(1-cos(x)^2)=4cos(x)^3-3cos(x)

8^(-4x)2^-3=8^(3/2)(2sqrt(2))^-x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                            -x
 -4*x          3/2 /    ___\  
8    *0.125 = 8   *\2*\/ 2 /

0.125 \cdot 8^{- 4 x} = 8^{\frac{3}{2}} \left(2 \sqrt{2}\right)^{- x}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = -0.714285714285714

x_{1} = -0.714285714285714

x2 = -0.714285714285714 - 8.6330669368137*I

x_{2} = -0.714285714285714 - 8.6330669368137 i

x3 = -0.714285714285714 - 7.76976024313233*I

x_{3} = -0.714285714285714 - 7.76976024313233 i

x4 = -0.714285714285714 - 6.90645354945096*I

x_{4} = -0.714285714285714 - 6.90645354945096 i

x5 = -0.714285714285714 - 6.04314685576959*I

x_{5} = -0.714285714285714 - 6.04314685576959 i

x6 = -0.714285714285714 - 5.17984016208822*I

x_{6} = -0.714285714285714 - 5.17984016208822 i

x7 = -0.714285714285714 - 4.31653346840685*I

x_{7} = -0.714285714285714 - 4.31653346840685 i

x8 = -0.714285714285714 - 3.45322677472548*I

x_{8} = -0.714285714285714 - 3.45322677472548 i

x9 = -0.714285714285714 - 2.58992008104411*I

x_{9} = -0.714285714285714 - 2.58992008104411 i

x10 = -0.714285714285714 - 1.72661338736274*I

x_{10} = -0.714285714285714 - 1.72661338736274 i

x11 = -0.714285714285714 - 0.86330669368137*I

x_{11} = -0.714285714285714 - 0.86330669368137 i

x12 = -0.714285714285714 + 0.86330669368137*I

x_{12} = -0.714285714285714 + 0.86330669368137 i

x13 = -0.714285714285714 + 1.72661338736274*I

x_{13} = -0.714285714285714 + 1.72661338736274 i

x14 = -0.714285714285714 + 2.58992008104411*I

x_{14} = -0.714285714285714 + 2.58992008104411 i

x15 = -0.714285714285714 + 3.45322677472548*I

x_{15} = -0.714285714285714 + 3.45322677472548 i

x16 = -0.714285714285714 + 4.31653346840685*I

x_{16} = -0.714285714285714 + 4.31653346840685 i

x17 = -0.714285714285714 + 5.17984016208822*I

x_{17} = -0.714285714285714 + 5.17984016208822 i

x18 = -0.714285714285714 + 6.04314685576959*I

x_{18} = -0.714285714285714 + 6.04314685576959 i

x19 = -0.714285714285714 + 6.90645354945096*I

x_{19} = -0.714285714285714 + 6.90645354945096 i

x20 = -0.714285714285714 + 7.76976024313233*I

x_{20} = -0.714285714285714 + 7.76976024313233 i

x21 = -0.714285714285714 + 8.6330669368137*I

x_{21} = -0.714285714285714 + 8.6330669368137 i

x21 = -0.714285714285714 + 8.6330669368137*i

Suma y producto de raíces [src]

suma

-0.714285714285714 + -0.714285714285714 - 8.6330669368137*I + -0.714285714285714 - 7.76976024313233*I + -0.714285714285714 - 6.90645354945096*I + -0.714285714285714 - 6.04314685576959*I + -0.714285714285714 - 5.17984016208822*I + -0.714285714285714 - 4.31653346840685*I + -0.714285714285714 - 3.45322677472548*I + -0.714285714285714 - 2.58992008104411*I + -0.714285714285714 - 1.72661338736274*I + -0.714285714285714 - 0.86330669368137*I + -0.714285714285714 + 0.86330669368137*I + -0.714285714285714 + 1.72661338736274*I + -0.714285714285714 + 2.58992008104411*I + -0.714285714285714 + 3.45322677472548*I + -0.714285714285714 + 4.31653346840685*I + -0.714285714285714 + 5.17984016208822*I + -0.714285714285714 + 6.04314685576959*I + -0.714285714285714 + 6.90645354945096*I + -0.714285714285714 + 7.76976024313233*I + -0.714285714285714 + 8.6330669368137*I

\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(\left(-0.714285714285714 + \left(-0.714285714285714 - 8.6330669368137 i\right)\right) + \left(-0.714285714285714 - 7.76976024313233 i\right)\right) + \left(-0.714285714285714 - 6.90645354945096 i\right)\right) + \left(-0.714285714285714 - 6.04314685576959 i\right)\right) + \left(-0.714285714285714 - 5.17984016208822 i\right)\right) + \left(-0.714285714285714 - 4.31653346840685 i\right)\right) + \left(-0.714285714285714 - 3.45322677472548 i\right)\right) + \left(-0.714285714285714 - 2.58992008104411 i\right)\right) + \left(-0.714285714285714 - 1.72661338736274 i\right)\right) + \left(-0.714285714285714 - 0.86330669368137 i\right)\right) + \left(-0.714285714285714 + 0.86330669368137 i\right)\right) + \left(-0.714285714285714 + 1.72661338736274 i\right)\right) + \left(-0.714285714285714 + 2.58992008104411 i\right)\right) + \left(-0.714285714285714 + 3.45322677472548 i\right)\right) + \left(-0.714285714285714 + 4.31653346840685 i\right)\right) + \left(-0.714285714285714 + 5.17984016208822 i\right)\right) + \left(-0.714285714285714 + 6.04314685576959 i\right)\right) + \left(-0.714285714285714 + 6.90645354945096 i\right)\right) + \left(-0.714285714285714 + 7.76976024313233 i\right)\right) + \left(-0.714285714285714 + 8.6330669368137 i\right)

-15.0 + 3.5527136788005e-15*I

-15.0 + 3.5527136788005 \cdot 10^{-15} i

producto

-0.714285714285714*(-0.714285714285714 - 8.6330669368137*I)*(-0.714285714285714 - 7.76976024313233*I)*(-0.714285714285714 - 6.90645354945096*I)*(-0.714285714285714 - 6.04314685576959*I)*(-0.714285714285714 - 5.17984016208822*I)*(-0.714285714285714 - 4.31653346840685*I)*(-0.714285714285714 - 3.45322677472548*I)*(-0.714285714285714 - 2.58992008104411*I)*(-0.714285714285714 - 1.72661338736274*I)*(-0.714285714285714 - 0.86330669368137*I)*(-0.714285714285714 + 0.86330669368137*I)*(-0.714285714285714 + 1.72661338736274*I)*(-0.714285714285714 + 2.58992008104411*I)*(-0.714285714285714 + 3.45322677472548*I)*(-0.714285714285714 + 4.31653346840685*I)*(-0.714285714285714 + 5.17984016208822*I)*(-0.714285714285714 + 6.04314685576959*I)*(-0.714285714285714 + 6.90645354945096*I)*(-0.714285714285714 + 7.76976024313233*I)*(-0.714285714285714 + 8.6330669368137*I)

- 0.714285714285714 \left(-0.714285714285714 - 8.6330669368137 i\right) \left(-0.714285714285714 - 7.76976024313233 i\right) \left(-0.714285714285714 - 6.90645354945096 i\right) \left(-0.714285714285714 - 6.04314685576959 i\right) \left(-0.714285714285714 - 5.17984016208822 i\right) \left(-0.714285714285714 - 4.31653346840685 i\right) \left(-0.714285714285714 - 3.45322677472548 i\right) \left(-0.714285714285714 - 2.58992008104411 i\right) \left(-0.714285714285714 - 1.72661338736274 i\right) \left(-0.714285714285714 - 0.86330669368137 i\right) \left(-0.714285714285714 + 0.86330669368137 i\right) \left(-0.714285714285714 + 1.72661338736274 i\right) \left(-0.714285714285714 + 2.58992008104411 i\right) \left(-0.714285714285714 + 3.45322677472548 i\right) \left(-0.714285714285714 + 4.31653346840685 i\right) \left(-0.714285714285714 + 5.17984016208822 i\right) \left(-0.714285714285714 + 6.04314685576959 i\right) \left(-0.714285714285714 + 6.90645354945096 i\right) \left(-0.714285714285714 + 7.76976024313233 i\right) \left(-0.714285714285714 + 8.6330669368137 i\right)

-1199516112005.61 + 0.0001220703125*I

-1199516112005.61 + 0.0001220703125 i

-1199516112005.61 + 0.0001220703125*i

Respuesta numérica [src]

x1 = 108.37874485872

x2 = 100.37874485872

x3 = 120.37874485872

x4 = 102.37874485872

x5 = 64.3787448587204

x6 = 56.3787448587204

x7 = 50.3787448587204

x8 = 58.3787448587204

x9 = 110.37874485872

x10 = 114.37874485872

x11 = 30.3787448587204

x12 = 42.3787448587204

x13 = 38.3787448587204

x14 = 70.3787448587204

x15 = 48.3787448587204

x16 = 118.37874485872

x17 = 98.3787448587204

x18 = 72.3787448587204

x19 = 52.3787448587204

x20 = 82.3787448587204

x21 = 68.3787448587204

x22 = 44.3787448587204

x23 = 90.3787448587204

x24 = 104.37874485872

x25 = 36.3787448587204

x26 = 78.3787448587204

x27 = 74.3787448587204

x28 = 86.3787448587204

x29 = 84.3787448587204

x30 = 66.3787448587204

x31 = 76.3787448587204

x32 = 94.3787448587204

x33 = 46.3787448587204

x34 = 54.3787448587204

x35 = 34.3787448587204

x36 = 80.3787448587204

x37 = 60.3787448587204

x38 = 92.3787448587204

x39 = 106.37874485872

x40 = 62.3787448587204

x41 = 88.3787448587204

x42 = 116.37874485872

x43 = 32.3787448587204

x44 = 40.3787448587204

x45 = 112.37874485872

x46 = 96.3787448587204

x47 = -0.714285714285714

x47 = -0.714285714285714

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

8^(-4*x)*2^-3=8^(3/2)*(2*sqrt(2))^-x la ecuación

Solución numérica:

Solución

8^(-4x)2^-3=8^(3/2)(2sqrt(2))^-x la ecuación