Question

Determinati numarul natural x care verifica egalitatea


b) 1/2 la puterea x+1 IMPARTIT la (3/2) la puterea x =1/6

Answer 1

(1/2)^(x+1) : (3/2)^x = 1/6
1/2^(x+1) * (2^x/3^x) = 1/6 se simplifica 2^x si ramane
1/(2*3^x) = 1/2*3
2*3^x = 2*3
3^x = 3
x= 1