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log9(3^x+2x-20)=x-xlog9(3) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
   / x           \               
log\3  + 2*x - 20/         log(3)
------------------ = x - x*------
      log(9)               log(9)
$$\frac{\log{\left(\left(3^{x} + 2 x\right) - 20 \right)}}{\log{\left(9 \right)}} = - x \frac{\log{\left(3 \right)}}{\log{\left(9 \right)}} + x$$
Gráfica
Respuesta rápida [src]
x1 = 10
$$x_{1} = 10$$
x1 = 10
Suma y producto de raíces [src]
suma
10
$$10$$
=
10
$$10$$
producto
10
$$10$$
=
10
$$10$$
10
Respuesta numérica [src]
x1 = 46.039954857118
x2 = 42.2041309855882
x3 = 53.8440726434573
x4 = 44.1134416609986
x5 = 40.3194520760796
x6 = 90.25
x7 = 98.0
x8 = 57.3060580120431
x9 = 56.9383688012878
x10 = 56.9889476015084
x11 = 56.7294243148095
x12 = 49.9273330781562
x13 = 51.883515660289
x14 = 64.0
x15 = 55.7648335300872
x16 = 33.7530149033256
x17 = 96.0
x18 = 56.9183504211726
x19 = 74.0
x20 = 47.9790071821842
x21 = 56.4729484386347
x22 = 57.3481926299649
x23 = 86.0
x24 = 10.0
x25 = 84.0
x26 = 35.0293366406212
x27 = 36.6882614578143
x28 = 62.0
x29 = 57.3055555555556
x30 = 56.814161337272
x31 = 66.25
x32 = 76.0
x33 = 58.0
x34 = 70.0
x35 = 100.0
x36 = 38.4723366697918
x37 = 72.0
x38 = 88.0
x39 = 78.25
x40 = 56.375
x40 = 56.375