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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
log⁡(log⁡(100x−45)log⁡(10))log⁡(10)=309100−107log⁡(4075+273)log⁡(10)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}
Simplificar
Gráfica
-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.52-2
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
             19           93
             --          ---
             20  4/25    100
        625*2  *5    *443   
        --------------------
               196249       
 1    10                    
--- + ----------------------
125            100
1125+10625⋅21920⋅44393100⋅5425196249100\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
1125+10625⋅21920⋅44393100⋅5425196249100\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
1125+10625⋅21920⋅44393100⋅5425196249100\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
1125+10625⋅21920⋅44393100⋅5425196249100\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
x1=1125+10625⋅21920⋅44393100⋅5425196249100x_{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
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