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- La ecuación:
-
Ecuación x+2/x=3
-
Ecuación 8*x-3*(2*x+1)=2*x+4
- Ecuación x+y+2=0
-
Ecuación 1+sin(x)=0
- Expresar {x} en función de y en la ecuación:
- 18*x+20*y=-2
- 18*x-8*y=-2
- 1*x+5*y=-11
- -3*x-20*y=-13
-
Expresiones idénticas
- siete *(cuarenta y nueve ^x) diez *(veintiocho ^x)- ocho *(dieciséis ^x)= cero
- 7 multiplicar por (49 en el grado x)10 multiplicar por (28 en el grado x) menos 8 multiplicar por (16 en el grado x) es igual a 0
- siete multiplicar por (cuarenta y nueve en el grado x) diez multiplicar por (veintiocho en el grado x) menos ocho multiplicar por (dieciséis en el grado x) es igual a cero
- 7*(49x)10*(28x)-8*(16x)=0
- 7*49x10*28x-8*16x=0
- 7(49^x)10(28^x)-8(16^x)=0
- 7(49x)10(28x)-8(16x)=0
- 749x1028x-816x=0
- 749^x1028^x-816^x=0
- 7*(49^x)10*(28^x)-8*(16^x)=O
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Expresiones semejantes
- 7*(49^x)10*(28^x)+8*(16^x)=0
7*(49^x)10*(28^x)-8*(16^x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x x x 7*49 *10*28 - 8*16 = 0
$$- 8 \cdot 16^{x} + 28^{x} 10 \cdot 7 \cdot 49^{x} = 0$$
Suma y producto de raíces
[src]
suma
/ 1 \ / 1 \
| ----------| | ----------|
| log(4/343)| | log(343/4)|
- log\4/35 / + log\4/35 /
$$- \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{4}{343} \right)}}} \right)} + \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{343}{4} \right)}}} \right)}$$
=
/ 1 \ / 1 \
| ----------| | ----------|
| log(4/343)| | log(343/4)|
- log\4/35 / + log\4/35 /
$$- \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{4}{343} \right)}}} \right)} + \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{343}{4} \right)}}} \right)}$$
producto
/ 1 \ / 1 \
| ----------| | ----------|
| log(4/343)| | log(343/4)|
-log\4/35 /*log\4/35 /
$$- \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{4}{343} \right)}}} \right)} \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{343}{4} \right)}}} \right)}$$
=
/ / 2 -1 \ \
| | ---------- ----------| |
| | log(4/343) log(4/343)| |
| -log\2 *35 / |
| -------------------------------|
| -3*log(7) + 2*log(2) |
-log\4/35 /
$$- \log{\left(\left(\frac{4}{35}\right)^{- \frac{\log{\left(\frac{35^{- \frac{1}{\log{\left(\frac{4}{343} \right)}}}}{2^{- \frac{2}{\log{\left(\frac{4}{343} \right)}}}} \right)}}{- 3 \log{\left(7 \right)} + 2 \log{\left(2 \right)}}} \right)}$$
-log((4/35)^(-log(2^(2/log(4/343))*35^(-1/log(4/343)))/(-3*log(7) + 2*log(2))))
Respuesta rápida
[src]
/ 1 \
| ----------|
| log(4/343)|
x1 = -log\4/35 /
$$x_{1} = - \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{4}{343} \right)}}} \right)}$$
/ 1 \
| ----------|
| log(343/4)|
x2 = log\4/35 /
$$x_{2} = \log{\left(\left(\frac{4}{35}\right)^{\frac{1}{\log{\left(\frac{343}{4} \right)}}} \right)}$$
x2 = log((4/35)^(1/log(343/4)))
Respuesta numérica
[src]
x1 = -63.4412124948754
x2 = -29.4412124948754
x3 = -23.4412124948754
x4 = -59.4412124948754
x5 = -105.441212494875
x6 = -101.441212494875
x7 = -61.4412124948754
x8 = -33.4412124948754
x9 = -41.4412124948754
x10 = -77.4412124948754
x11 = -51.4412124948754
x12 = -39.4412124948754
x13 = -91.4412124948754
x14 = -43.4412124948754
x15 = -83.4412124948754
x16 = -57.4412124948754
x17 = -11.4412127192683
x18 = -89.4412124948754
x19 = -93.4412124948754
x20 = -53.4412124948754
x21 = -81.4412124948754
x22 = -71.4412124948754
x23 = -95.4412124948754
x24 = -15.4412124948754
x25 = -55.4412124948754
x26 = -37.4412124948754
x27 = -75.4412124948754
x28 = -69.4412124948754
x29 = -21.4412124948754
x30 = -73.4412124948754
x31 = -35.4412124948754
x32 = -87.4412124948754
x33 = -67.4412124948754
x34 = -17.4412124948754
x35 = -103.441212494875
x36 = -97.4412124948754
x37 = -27.4412124948754
x38 = -25.4412124948754
x39 = -85.4412124948754
x40 = -99.4412124948754
x41 = -19.4412124948754
x42 = -107.441212494875
x43 = -47.4412124948754
x44 = -65.4412124948754
x45 = -31.4412124948754
x46 = -0.487270547850585
x47 = -13.4412124949059
x48 = -45.4412124948754
x49 = -49.4412124948754
x50 = -79.4412124948754
x50 = -79.4412124948754