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2*2^(2g)-5*6^g+3*3^(2g)=0 equation

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Numerical solution:

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The solution

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   2*g      g      2*g    
2*2    - 5*6  + 3*3    = 0
$$3 \cdot 3^{2 g} + \left(2 \cdot 2^{2 g} - 5 \cdot 6^{g}\right) = 0$$
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Numerical answer [src]
g1 = -51.016149302249
g2 = -107.016148295613
g3 = -61.0161483130697
g4 = -105.016148295613
g5 = -109.016148295613
g6 = -21.2255469976673
g7 = -23.1049510608951
g8 = -41.0162063446042
g9 = -89.0161482956133
g10 = -63.0161483033716
g11 = -45.0161597618726
g12 = -27.0332069516031
g13 = -111.016148295613
g14 = -115.016148295613
g15 = -71.0161482959158
g16 = -31.0194999855092
g17 = -93.0161482956131
g18 = -29.0237019369711
g19 = -99.0161482956131
g20 = -113.016148295613
g21 = -83.0161482956154
g22 = -101.016148295613
g23 = -69.0161482962942
g24 = -103.016148295613
g25 = -30.4306133676539
g26 = -77.0161482956397
g27 = -25.0548548200722
g28 = -73.0161482957476
g29 = -91.0161482956132
g30 = -55.0161484944547
g31 = -49.0161505605451
g32 = -97.0161482956131
g33 = -43.0161740948409
g34 = -33.0176368560821
g35 = -65.0161482990613
g36 = -57.0161483839871
g37 = -67.0161482971456
g38 = -37.0164421956006
g39 = -81.0161482956183
g40 = -87.0161482956135
g41 = -53.0161487430067
g42 = 4.49146913365185e-15
g43 = -59.0161483348904
g44 = -47.0161533917158
g45 = -95.0161482956131
g46 = -35.0168096651426
g47 = -39.0162789095309
g48 = 0.0
g49 = -79.0161482956249
g50 = -75.0161482956729
g51 = -85.0161482956141
g51 = -85.0161482956141