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- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x^2+4=5x
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
- Derivada de:
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ln(x)
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sin(v)
- Suma de la serie:
- ln(x)
- Integral de d{x}:
- ln(x)
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Expresiones idénticas
- ln(x)=sin(v)
- ln(x) es igual a seno de (v)
- lnx=sinv
-
Expresiones semejantes
- 0,076=ln(x/3,9*10^(-3))
- (x^3-ln(x^(5,5))-25)-(1/(3-x))=0
- Y=arcsinvx
- -lnsinu*lnsinv
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Expresiones con funciones
- ln
- lnx=-3/y^2
- lny+(x/y)^0.5=2
- ln(2x)–2+x=0
- ln(y)-1=(y/3)+(2/3)
- lnv-3ln(cosx)=0
- Seno sin
- sin(x)=pi
- sin(4*x)=0
- sin(x)^2=1
- sin(x)=(1/2)
- sin(x)=0,5
ln(x)=sin(v) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\log{\left(x \right)} = \sin{\left(v \right)}$$
$$\log{\left(x \right)} = \sin{\left(v \right)}$$
Es la ecuación de la forma:
Por definición log
entonces
$$x = e^{\frac{\sin{\left(v \right)}}{1}}$$
simplificamos
$$x = e^{\sin{\left(v \right)}}$$
$$\log{\left(x \right)} = \sin{\left(v \right)}$$
$$\log{\left(x \right)} = \sin{\left(v \right)}$$
Es la ecuación de la forma:
log(v)=p
Por definición log
v=e^p
entonces
$$x = e^{\frac{\sin{\left(v \right)}}{1}}$$
simplificamos
$$x = e^{\sin{\left(v \right)}}$$
Gráfica
Respuesta rápida
[src]
cosh(im(v))*sin(re(v)) cosh(im(v))*sin(re(v)) x1 = cos(cos(re(v))*sinh(im(v)))*e + I*e *sin(cos(re(v))*sinh(im(v)))
$$x_{1} = i e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \sin{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)} + e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \cos{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)}$$
x1 = i*exp(sin(re(v))*cosh(im(v)))*sin(cos(re(v))*sinh(im(v))) + exp(sin(re(v))*cosh(im(v)))*cos(cos(re(v))*sinh(im(v)))
Suma y producto de raíces
[src]
suma
cosh(im(v))*sin(re(v)) cosh(im(v))*sin(re(v)) cos(cos(re(v))*sinh(im(v)))*e + I*e *sin(cos(re(v))*sinh(im(v)))
$$i e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \sin{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)} + e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \cos{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)}$$
=
cosh(im(v))*sin(re(v)) cosh(im(v))*sin(re(v)) cos(cos(re(v))*sinh(im(v)))*e + I*e *sin(cos(re(v))*sinh(im(v)))
$$i e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \sin{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)} + e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \cos{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)}$$
producto
cosh(im(v))*sin(re(v)) cosh(im(v))*sin(re(v)) cos(cos(re(v))*sinh(im(v)))*e + I*e *sin(cos(re(v))*sinh(im(v)))
$$i e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \sin{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)} + e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}} \cos{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)}$$
=
cosh(im(v))*sin(re(v)) (I*sin(cos(re(v))*sinh(im(v))) + cos(cos(re(v))*sinh(im(v))))*e
$$\left(i \sin{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)} + \cos{\left(\cos{\left(\operatorname{re}{\left(v\right)} \right)} \sinh{\left(\operatorname{im}{\left(v\right)} \right)} \right)}\right) e^{\sin{\left(\operatorname{re}{\left(v\right)} \right)} \cosh{\left(\operatorname{im}{\left(v\right)} \right)}}$$
(i*sin(cos(re(v))*sinh(im(v))) + cos(cos(re(v))*sinh(im(v))))*exp(cosh(im(v))*sin(re(v)))