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3^sqrt(2x-3)=5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   _________    
 \/ 2*x - 3     
3            = 5
$$3^{\sqrt{2 x - 3}} = 5$$
Gráfica
Suma y producto de raíces [src]
suma
        2    
3    log (5) 
- + ---------
2        2   
    2*log (3)
$$\frac{\log{\left(5 \right)}^{2}}{2 \log{\left(3 \right)}^{2}} + \frac{3}{2}$$
=
        2    
3    log (5) 
- + ---------
2        2   
    2*log (3)
$$\frac{\log{\left(5 \right)}^{2}}{2 \log{\left(3 \right)}^{2}} + \frac{3}{2}$$
producto
        2    
3    log (5) 
- + ---------
2        2   
    2*log (3)
$$\frac{\log{\left(5 \right)}^{2}}{2 \log{\left(3 \right)}^{2}} + \frac{3}{2}$$
=
        2    
3    log (5) 
- + ---------
2        2   
    2*log (3)
$$\frac{\log{\left(5 \right)}^{2}}{2 \log{\left(3 \right)}^{2}} + \frac{3}{2}$$
3/2 + log(5)^2/(2*log(3)^2)
Respuesta rápida [src]
             2    
     3    log (5) 
x1 = - + ---------
     2        2   
         2*log (3)
$$x_{1} = \frac{\log{\left(5 \right)}^{2}}{2 \log{\left(3 \right)}^{2}} + \frac{3}{2}$$
x1 = log(5)^2/(2*log(3)^2) + 3/2
Respuesta numérica [src]
x1 = 2.57307370820234
x2 = -62.8454632575671 - 16.7569582021356*i
x3 = -62.8454632575671 + 16.7569582021356*i
x4 = -13.78156053324 - 8.37847910106781*i
x5 = -144.618634464779 + 25.1354373032034*i
x6 = -13.78156053324 + 8.37847910106781*i
x7 = -13.7815605332401 - 8.37847910106767*i
x7 = -13.7815605332401 - 8.37847910106767*i