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- La ecuación:
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Ecuación x+9=0
-
Ecuación 2x^2+7x-9=0
-
Ecuación 5*x^2+9*x=0
-
Ecuación 3x^2=2x+x^3
- Expresar {x} en función de y en la ecuación:
- -6*x+11*y=-5
- -15*x+7*y=1
- -14*x+4*y=-16
- 11*x-9*y=-4
-
Expresiones idénticas
- log(diez ,x)^ dos +log(diez ,x^ dos)=log(diez , dos)- uno
- logaritmo de (10,x) al cuadrado más logaritmo de (10,x al cuadrado ) es igual a logaritmo de (10,2) menos 1
- logaritmo de (diez ,x) en el grado dos más logaritmo de (diez ,x en el grado dos) es igual a logaritmo de (diez , dos) menos uno
- log(10,x)2+log(10,x2)=log(10,2)-1
- log10,x2+log10,x2=log10,2-1
- log(10,x)²+log(10,x²)=log(10,2)-1
- log(10,x) en el grado 2+log(10,x en el grado 2)=log(10,2)-1
- log10,x^2+log10,x^2=log10,2-1
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Expresiones semejantes
- log(10,x)^2-log(10,x^2)=log(10,2)-1
- log(10,x)^2+log(10,x^2)=log(10,2)+1
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Expresiones con funciones
- Logaritmo log
- log(9-16x^4,3-4x^2)=2+(1/(log(3-4x^2,2)))
- log(y)=x^5/5
- log(2)*(log(3)*(log(4)*(1x-1)))=1
- log1-x(a-x+2)=2
- log(1/3)^x=3
- Logaritmo log
- log(9-16x^4,3-4x^2)=2+(1/(log(3-4x^2,2)))
- log(y)=x^5/5
- log(2)*(log(3)*(log(4)*(1x-1)))=1
- log1-x(a-x+2)=2
- log(1/3)^x=3
- Logaritmo log
- log(9-16x^4,3-4x^2)=2+(1/(log(3-4x^2,2)))
- log(y)=x^5/5
- log(2)*(log(3)*(log(4)*(1x-1)))=1
- log1-x(a-x+2)=2
- log(1/3)^x=3
log(10,x)^2+log(10,x^2)=log(10,2)-1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
/log(10)\ log(10)
|-------| + ------- = log(51/5) - 1
\ log(x)/ / 2\
log\x /
$$\left(\frac{\log{\left(10 \right)}}{\log{\left(x \right)}}\right)^{2} + \frac{\log{\left(10 \right)}}{\log{\left(x^{2} \right)}} = -1 + \log{\left(\frac{51}{5} \right)}$$
Respuesta rápida
[src]
_________________________________________
/ /2094704750199298376445300801\
-1 + / -15 + log|----------------------------|
\/ \ 152587890625 /
--------------------------------------------------
4*(1 + log(5/51))
x1 = 10
$$x_{1} = 10^{\frac{-1 + \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}}}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}$$
_________________________________________
/ /2094704750199298376445300801\
-1 - / -15 + log|----------------------------|
\/ \ 152587890625 /
--------------------------------------------------
4*(1 + log(5/51))
x2 = 10
$$x_{2} = 10^{\frac{- \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}} - 1}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}$$
x2 = 10^((-sqrt(-15 + log(2094704750199298376445300801/152587890625)) - 1)/(4*(log(5/51) + 1)))
Suma y producto de raíces
[src]
suma
_________________________________________ _________________________________________
/ /2094704750199298376445300801\ / /2094704750199298376445300801\
-1 + / -15 + log|----------------------------| -1 - / -15 + log|----------------------------|
\/ \ 152587890625 / \/ \ 152587890625 /
-------------------------------------------------- --------------------------------------------------
4*(1 + log(5/51)) 4*(1 + log(5/51))
10 + 10
$$10^{\frac{-1 + \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}}}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}} + 10^{\frac{- \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}} - 1}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}$$
=
_________________________________________ _________________________________________
/ /2094704750199298376445300801\ / /2094704750199298376445300801\
-1 + / -15 + log|----------------------------| -1 - / -15 + log|----------------------------|
\/ \ 152587890625 / \/ \ 152587890625 /
-------------------------------------------------- --------------------------------------------------
4*(1 + log(5/51)) 4*(1 + log(5/51))
10 + 10
$$10^{\frac{-1 + \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}}}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}} + 10^{\frac{- \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}} - 1}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}$$
producto
_________________________________________ _________________________________________
/ /2094704750199298376445300801\ / /2094704750199298376445300801\
-1 + / -15 + log|----------------------------| -1 - / -15 + log|----------------------------|
\/ \ 152587890625 / \/ \ 152587890625 /
-------------------------------------------------- --------------------------------------------------
4*(1 + log(5/51)) 4*(1 + log(5/51))
10 *10
$$\frac{10^{\frac{- \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}} - 1}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}}{10^{- \frac{-1 + \sqrt{-15 + \log{\left(\frac{2094704750199298376445300801}{152587890625} \right)}}}{4 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}}$$
=
-1 ----------------- 2*(1 + log(5/51)) 10
$$10^{- \frac{1}{2 \left(\log{\left(\frac{5}{51} \right)} + 1\right)}}$$
10^(-1/(2*(1 + log(5/51))))
Respuesta numérica
[src]
x1 = 0.199130174837955
x2 = -1.86186250278971 + 0.135048098096965*i
x3 = 11.994077741522
x3 = 11.994077741522