Question

Salut! Rezollvati ecuatia $2^{x}+ 2^{x+3} =36$ Sa fie explicit...

Answer 1

$2^{x} +2^{x}*2^{3} =36 \\ 2^{x} +2^{x}*8 -36=0 \\ notez 2^{x}=t, t\ \textgreater \ 0(exponentiala) \\ t+8t-36=0 \\ 9t=36 =\ \textgreater \ t=4 \\ 2^{x}=4 =\ \textgreater \ x=2.$

solutie finala: {2}