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log10(log10(100*x-0,8))=3,09-1,07*log10(273+81.4) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /log(100*x - 4/5)\             log(407/5 + 273)
log|----------------|         107*----------------
   \    log(10)     /   309           log(10)     
--------------------- = --- - --------------------
       log(10)          100           100         
$$\frac{\log{\left(\frac{\log{\left(100 x - \frac{4}{5} \right)}}{\log{\left(10 \right)}} \right)}}{\log{\left(10 \right)}} = \frac{309}{100} - \frac{107 \frac{\log{\left(\frac{407}{5} + 273 \right)}}{\log{\left(10 \right)}}}{100}$$
Gráfica
Suma y producto de raíces [src]
suma
             19           93
             --          ---
             20  4/25    100
        625*2  *5    *443   
        --------------------
               196249       
 1    10                    
--- + ----------------------
125            100          
$$\frac{1}{125} + \frac{10^{\frac{625 \cdot 2^{\frac{19}{20}} \cdot 443^{\frac{93}{100}} \cdot 5^{\frac{4}{25}}}{196249}}}{100}$$
=
             19           93
             --          ---
             20  4/25    100
        625*2  *5    *443   
        --------------------
               196249       
 1    10                    
--- + ----------------------
125            100          
$$\frac{1}{125} + \frac{10^{\frac{625 \cdot 2^{\frac{19}{20}} \cdot 443^{\frac{93}{100}} \cdot 5^{\frac{4}{25}}}{196249}}}{100}$$
producto
             19           93
             --          ---
             20  4/25    100
        625*2  *5    *443   
        --------------------
               196249       
 1    10                    
--- + ----------------------
125            100          
$$\frac{1}{125} + \frac{10^{\frac{625 \cdot 2^{\frac{19}{20}} \cdot 443^{\frac{93}{100}} \cdot 5^{\frac{4}{25}}}{196249}}}{100}$$
=
             19           93
             --          ---
             20  4/25    100
        625*2  *5    *443   
        --------------------
               196249       
 1    10                    
--- + ----------------------
125            100          
$$\frac{1}{125} + \frac{10^{\frac{625 \cdot 2^{\frac{19}{20}} \cdot 443^{\frac{93}{100}} \cdot 5^{\frac{4}{25}}}{196249}}}{100}$$
1/125 + 10^(625*2^(19/20)*5^(4/25)*443^(93/100)/196249)/100
Respuesta rápida [src]
                  19           93
                  --          ---
                  20  4/25    100
             625*2  *5    *443   
             --------------------
                    196249       
      1    10                    
x1 = --- + ----------------------
     125            100          
$$x_{1} = \frac{1}{125} + \frac{10^{\frac{625 \cdot 2^{\frac{19}{20}} \cdot 443^{\frac{93}{100}} \cdot 5^{\frac{4}{25}}}{196249}}}{100}$$
x1 = 1/125 + 10^(625*2^(19/20)*443^(93/100)*5^(4/25)/196249)/100
Respuesta numérica [src]
x1 = 2.01091698640319
x1 = 2.01091698640319