Question

Determinați n € N astfel încât 2^n+2^n+2+2^n+1=56 va rog!

Answer 1

2ⁿ+2ⁿ⁺²+2ⁿ⁺¹=56
2ⁿx(1+2²+1¹)=56
2ⁿx7=56
2ⁿ=8
2ⁿ=2³
n-3

Answer 2

$2^{n}+2 ^{n+2}+ 2^{n}=56 \\ \\ 2^{n}+2^{n}*2^{2}+2^{n}*2^{1}=56 \\ \\2^{n}(1+ 2^{2}+ 2^{1} )=56 \\ \\ 2^{n}*7=56 \\ \\ 2^{n}=56:7 \\ \\ 2^{n}=8 \\ \\ 2^{n}= 2^{3} \\ \\ n=3$