Tìm x biết 1.2.3...31/2.4.6...64=16/2x (lưu ý x=5 là sai ạ)

$\text{$\frac{1.2.3.....31}{2.4.6...64}=$}$ $\frac{16}{2x}$

$\text{$\frac{1.2.3.....31}{(2.1)(2.2)(2.3).....(2.31).2^{6} }=$}$ $\frac{16}{2x}$

$\text{$\frac{1.2.3.....31}{2^{31}.(1.2.3.....31).2^{6} }=$}$ $\frac{16}{2x}$

$\text{$\frac{1.2.3.....31}{2^{37}.(1.2.3.....31) }=$}$ $\frac{2^{4}}{2x}$

$\text{$\frac{1}{2^{37} }=$}$ $\frac{2^{4}}{2x}$

$\text{=>1.$2^{x}$= $2^{37} . $ }$ $2^{4}$

$\text{=>$2^{x}$= $2^{37}$ }$

$\text{=>$2^{x}$= $2^{41}$ }$

$\text{=>x=41}$

Vậy x = 41