log(x+2)/log(3)=27 la ecuación
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Solución
Solución detallada
Tenemos la ecuación
log ( x + 2 ) log ( 3 ) = 27 \frac{\log{\left(x + 2 \right)}}{\log{\left(3 \right)}} = 27 log ( 3 ) log ( x + 2 ) = 27 log ( x + 2 ) log ( 3 ) = 27 \frac{\log{\left(x + 2 \right)}}{\log{\left(3 \right)}} = 27 log ( 3 ) log ( x + 2 ) = 27 Devidimos ambás partes de la ecuación por el multiplicador de log =1/log(3)
log ( x + 2 ) = 27 log ( 3 ) \log{\left(x + 2 \right)} = 27 \log{\left(3 \right)} log ( x + 2 ) = 27 log ( 3 ) Es la ecuación de la forma:
log(v)=p Por definición log
v=e^p entonces
x + 2 = e 27 1 log ( 3 ) x + 2 = e^{\frac{27}{\frac{1}{\log{\left(3 \right)}}}} x + 2 = e l o g ( 3 ) 1 27 simplificamos
x + 2 = 7625597484987 x + 2 = 7625597484987 x + 2 = 7625597484987 x = 7625597484985 x = 7625597484985 x = 7625597484985
Gráfica
8000000000000 9000000000000 10000000000000 11000000000000 26.9999999999975 27.0000000000025
Suma y producto de raíces
[src]
7625597484985 7625597484985 7625597484985
7625597484985 7625597484985 7625597484985
7625597484985 7625597484985 7625597484985
7625597484985 7625597484985 7625597484985
x 1 = 7625597484985 x_{1} = 7625597484985 x 1 = 7625597484985
x2 = 7625597484985.0 - 5.74438028480187e-18*i
x3 = 7625597484985.0 - 4.89526364837025e-13*i
x4 = 7625597484985.0 + 3.9825049783341e-19*i
x5 = 7625597484985.0 - 4.51833104219996e-16*i
x6 = 7625597484985.0 + 6.87742420020026e-16*i
x7 = 7625597484985.0 - 1.24668976013025e-13*i
x8 = 7625597484985.0 - 5.80186759713375e-18*i
x9 = 7625597484985.0 + 3.53044792474528e-17*i
x10 = 7625597484985.0 + 2.56014165983793e-17*i
x11 = 7625597484985.0 + 1.1855581737767e-15*i
x11 = 7625597484985.0 + 1.1855581737767e-15*i