Question

b)Sa se rezolve in multimea numerelor naturale ecuatia:
2 la puterea x + 2 la puterea x+1 + 2 la puterea x+2 +2 la puterea x+3 +2 la puterea x+4=248
c)calculati media aritmetica a numerelor:
x=2013 la puterea 0 +(3,24:2,4+7,9-3,2•2):1,5
y)1 la puterea 2013+201,3:20,13-5,1a puterea 2:5,1
Va rog.
Urgent.
Dau coronita.

Answer 1

Se da factor comun 2 ^x ( 1+ 2 + 2^2+ 2^3+ 2^4) = 248; 2^x ( 1+ 2+ 4+ 8 + 16) = 248 ; 31 x 2^x = 248; 2^x = 8 = 2^3, x = 3 ; c ) x = 2013^0 + ( 3,24:2,4+ 7,9-3,2x 2) :1,5 = 1+ ( 1,35+ 7,9 -6,4) :1,5= 1+ 1,9 = 2,9 ; y = 1^2013 + 201,3:20,13-5,1^2 : 5,1 = 1+ 10-5,1= 5,9 ; media artimetica = (x + y):2 =( 2,9 + 5,9 ):2 = 4,4