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9^x+4^x=2,5×6^x la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
             x
 x    x   5*6 
9  + 4  = ----
           2  
$$4^{x} + 9^{x} = \frac{5 \cdot 6^{x}}{2}$$
Gráfica
Respuesta numérica [src]
x1 = -57.0161483839871
x2 = -59.0161483348904
x3 = -39.0162789114186
x4 = -21.2312135581183
x5 = -105.016148295613
x6 = -61.0161483130697
x7 = -43.0161740949146
x8 = -27.0332395357983
x9 = -35.0168097135592
x10 = -47.0161533917187
x11 = -67.0161482971456
x12 = -95.0161482956131
x13 = -89.0161482956133
x14 = -91.0161482956132
x15 = -55.0161484944547
x16 = -71.0161482959158
x17 = -51.0161493022492
x18 = -1.70951129135145
x19 = -87.0161482956135
x20 = -33.0176371014912
x21 = -109.016148295613
x22 = -69.0161482962942
x23 = -79.0161482956249
x24 = -49.0161505605457
x25 = -53.0161487430068
x26 = -111.016148295613
x27 = -63.0161483033716
x28 = 1.70951129135145
x29 = -83.0161482956154
x30 = -113.016148295613
x31 = -97.0161482956131
x32 = -99.0161482956131
x33 = -41.016206344977
x34 = -45.0161597618872
x35 = -23.1058808754855
x36 = -31.0195012313225
x37 = -101.016148295613
x38 = -73.0161482957476
x39 = -85.0161482956141
x40 = -29.0237082832647
x41 = -25.0550251789343
x42 = -115.016148295613
x43 = -75.0161482956729
x44 = -103.016148295613
x45 = -93.0161482956131
x46 = -81.0161482956183
x47 = -37.0164422051592
x48 = -107.016148295613
x49 = -65.0161482990613
x50 = -77.0161482956397
x50 = -77.0161482956397