Question

media aritmetica a numerelor 2la puterea x, 2la puterea x+1 si 3ori 2 la puterea x este 2la puterea 18. atunci x este:

Answer 1

(2^x)+(2^x+1)+(3•2^x):3=2^18/:3
2^x•1+2^x•2+2^x•3=2^18•3/:3
2^x+2^x•2+2^x=2^18
2^x (1+2+1)=2^18
(2^x)•4=2^2•2^16/:2^2
2^x=2^16
x=16