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- La ecuación:
-
Ecuación 3x^2=0
- Ecuación x^2-49=0
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Ecuación 1-x/2=x/3
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Ecuación 3*x^2-9=0
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -19*x+14*y=20
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Expresiones idénticas
- tres ^(3x- veintiocho)* siete ^(x- ocho)= veintiuno ^(2x- veintitrés)
- 3 en el grado (3x menos 28) multiplicar por 7 en el grado (x menos 8) es igual a 21 en el grado (2x menos 23)
- tres en el grado (3x menos veintiocho) multiplicar por siete en el grado (x menos ocho) es igual a veintiuno en el grado (2x menos veintitrés)
- 3(3x-28)*7(x-8)=21(2x-23)
- 33x-28*7x-8=212x-23
- 3^(3x-28)7^(x-8)=21^(2x-23)
- 3(3x-28)7(x-8)=21(2x-23)
- 33x-287x-8=212x-23
- 3^3x-287^x-8=21^2x-23
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Expresiones semejantes
- 3^(3x-28)*7^(x-8)=21^(2x+23)
- 3^(3x-28)*7^(x+8)=21^(2x-23)
- 3^(3x+28)*7^(x-8)=21^(2x-23)
3^(3x-28)*7^(x-8)=21^(2x-23) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3*x - 28 x - 8 2*x - 23 3 *7 = 21
$$3^{3 x - 28} \cdot 7^{x - 8} = 21^{2 x - 23}$$
Respuesta rápida
[src]
/ 5 \
| --------|
| log(3/7)|
x1 = log\3/343 /
$$x_{1} = \log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)}$$
/ 1 \
| --------|
| log(7/3)|
|/4747561509943\ |
x2 = log||-------------| |
\\ 243 / /
$$x_{2} = \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
x2 = log((4747561509943/243)^(1/log(7/3)))
Suma y producto de raíces
[src]
suma
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
log\3/343 / + log||-------------| |
\\ 243 / /
$$\log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} + \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
=
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
log\3/343 / + log||-------------| |
\\ 243 / /
$$\log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} + \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
producto
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
log\3/343 /*log||-------------| |
\\ 243 / /
$$\log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
=
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
log\3/343 /*log||-------------| |
\\ 243 / /
$$\log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
log((3/343)^(5/log(3/7)))*log((4747561509943/243)^(1/log(7/3)))
Respuesta numérica
[src]
x1 = -5.88250147962892
x2 = -29.8825014796269
x3 = -83.8825014796269
x4 = -25.8825014796269
x5 = -85.8825014796269
x6 = -47.8825014796269
x7 = -51.8825014796269
x8 = 0.117498520041663
x9 = -15.8825014796269
x10 = -11.8825014796269
x11 = -71.8825014796269
x12 = -69.8825014796269
x13 = -81.8825014796269
x14 = -55.8825014796269
x15 = -73.8825014796269
x16 = -95.8825014796269
x17 = -23.8825014796269
x18 = 2.11749851856847
x19 = -97.8825014796269
x20 = -7.88250147962725
x21 = -3.88250147963805
x22 = -93.8825014796269
x23 = -27.8825014796269
x24 = -75.8825014796269
x25 = -37.8825014796269
x26 = -77.8825014796269
x27 = -89.8825014796269
x28 = -103.882501479627
x29 = -19.8825014796269
x30 = -13.8825014796269
x31 = -9.88250147962694
x32 = -1.88250147968775
x33 = -33.8825014796269
x34 = -101.882501479627
x35 = -35.8825014796269
x36 = -53.8825014796269
x37 = -41.8825014796269
x38 = -79.8825014796269
x39 = -99.8825014796269
x40 = -31.8825014796269
x41 = -45.8825014796269
x42 = -67.8825014796269
x43 = -57.8825014796269
x44 = -21.8825014796269
x45 = -65.8825014796269
x46 = -39.8825014796269
x47 = -61.8825014796269
x48 = -63.8825014796269
x49 = -43.8825014796269
x50 = -59.8825014796269
x51 = -91.8825014796269
x52 = -49.8825014796269
x53 = -87.8825014796269
x54 = -17.8825014796269
x54 = -17.8825014796269