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lg(d/1000)⋅lg(d)=28 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   / d  \            
log|----|*log(d) = 28
   \1000/            
log(d)log(d1000)=28\log{\left(d \right)} \log{\left(\frac{d}{1000} \right)} = 28
Gráfica
18000190002000021000220002300024000250002600027.9828.02
Suma y producto de raíces [src]
suma
               __________________                  __________________
              /            2                      /            2     
           -\/  112 + 9*log (10)                \/  112 + 9*log (10) 
           -----------------------              ---------------------
     ____             2                   ____            2          
10*\/ 10 *e                        + 10*\/ 10 *e                     
1010e9log(10)2+1122+1010e9log(10)2+1122\frac{10 \sqrt{10}}{e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}} + 10 \sqrt{10} e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}
=
              __________________                  __________________ 
             /            2                      /            2      
           \/  112 + 9*log (10)               -\/  112 + 9*log (10)  
           ---------------------              -----------------------
     ____            2                  ____             2           
10*\/ 10 *e                      + 10*\/ 10 *e                       
1010e9log(10)2+1122+1010e9log(10)2+1122\frac{10 \sqrt{10}}{e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}} + 10 \sqrt{10} e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}
producto
               __________________                __________________
              /            2                    /            2     
           -\/  112 + 9*log (10)              \/  112 + 9*log (10) 
           -----------------------            ---------------------
     ____             2                 ____            2          
10*\/ 10 *e                       *10*\/ 10 *e                     
1010e9log(10)2+11221010e9log(10)2+1122\frac{10 \sqrt{10}}{e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}} \cdot 10 \sqrt{10} e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}
=
1000
10001000
1000
Respuesta rápida [src]
                    __________________ 
                   /            2      
                -\/  112 + 9*log (10)  
                -----------------------
          ____             2           
d1 = 10*\/ 10 *e                       
d1=1010e9log(10)2+1122d_{1} = \frac{10 \sqrt{10}}{e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}}
                   __________________
                  /            2     
                \/  112 + 9*log (10) 
                ---------------------
          ____            2          
d2 = 10*\/ 10 *e                     
d2=1010e9log(10)2+1122d_{2} = 10 \sqrt{10} e^{\frac{\sqrt{9 \log{\left(10 \right)}^{2} + 112}}{2}}
d2 = 10*sqrt(10)*exp(sqrt(9*log(10)^2 + 112)/2)
Respuesta numérica [src]
d1 = 17550.5198145868
d2 = 17550.5198145868 - 1.2490774649487e-18*i
d3 = 17550.5198145868 + 5.64238312323998e-17*i
d4 = 17550.5198145868 + 3.82228153287725e-19*i
d4 = 17550.5198145868 + 3.82228153287725e-19*i