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9*4^x=5*6^x-4*9^x=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   x      x      x
9*4  = 5*6  - 4*9 
$$9 \cdot 4^{x} = 5 \cdot 6^{x} - 4 \cdot 9^{x}$$
Gráfica
Respuesta numérica [src]
x1 = -61.0161482994923
x2 = -31.0168914410046
x3 = -65.0161482963793
x4 = -33.0164787563527
x5 = -105.016148295613
x6 = -67.0161482959536
x7 = -57.0161483152517
x8 = -83.0161482956136
x9 = -93.0161482956131
x10 = -77.016148295619
x11 = -49.0161487989305
x12 = -45.0161508436511
x13 = -43.0161540286755
x14 = -75.0161482956264
x15 = -87.0161482956132
x16 = -109.016148295613
x17 = -51.0161485193098
x18 = -81.0161482956142
x19 = -41.0161611948861
x20 = -25.0245286372004
x21 = -111.016148295613
x22 = -39.0161773183828
x23 = -91.0161482956131
x24 = -27.0198958971405
x25 = -63.0161482973372
x26 = -47.0161494280765
x27 = -97.0161482956131
x28 = -113.016148295613
x29 = -99.0161482956131
x30 = -101.016148295613
x31 = -59.0161483043414
x32 = -69.0161482957644
x33 = -103.016148295613
x34 = -115.016148295613
x35 = -85.0161482956133
x36 = -29.0178183872619
x37 = -23.0347350813327
x38 = -73.016148295643
x39 = -53.0161483950339
x40 = -35.0162952013674
x41 = -79.0161482956157
x42 = -71.0161482956804
x43 = -89.0161482956131
x44 = -37.0162135938344
x45 = -107.016148295613
x46 = -55.0161483398001
x47 = -95.0161482956131
x47 = -95.0161482956131