1) 2^(x+1) +2^(x-1) -3^(x-1) =3^(x-2) -2^(x-3) +2*3^(x-3) ;
2^(x+1) +2^(x-1) +2^(x-3)=3^(x-1) +3^(x-2) +2*3^(x-3) ;
2^(x-4)*(2⁵ +2³+2) = 3^(x-4)*(3³ +3² +2*3) ;
2^(x-4)*42 = 3^(x-4)*42 ;
2^(x-4) = 3^(x-4) ;
x-4 =0 ;
x =4.
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2)
3 ^(x+4) +3*5^(x+3) = 5^(x+4) +3^(x+3) ;
3 ^(x+4) -3^(x+3) = 5^(x+4) -3*5^(x+3) ;
3 ^(x+3) (3 -1) = 5^(x+3) (5 -3) ;
3 ^(x+3) = 5^(x+3) ;
x+3 =0 ;
x = - 3 .