\(\frac{1}{4}\times\frac{2}{6}\times\frac{3}{8}\times...\times\frac{30}{62}\times\frac{31}{64}=2^x\)

\(\Rightarrow\) \(\frac{1\times2\times3\times...\times30\times31}{4\times6\times8\times...\times62\times64}=2^x\)

\(\Rightarrow\frac{1}{2^{31}}=2^x\)\(\Rightarrow1=2^x\times2^{31}\)

\(\Rightarrow2^{x+31}=2^0\)

\(\Rightarrow x+31=0\Rightarrow x=\left(-31\right)\)

Vân Anh thế còn \(\frac{1}{64}\)đâu

H = 1/4 . 2/6 . 3/8 . 4/10. ... . 30/62 . 31/64

H= 1/2.2 . 2/2.3 . 3/2.4 . 4/2.5 . ... . 30/2.31 . 31/2.32

H = 1/2 . 1/2 . 1/2 . 1/2 . ... . 1/2 . 1/32 (31 số 1/2)

H = 1/2^31 . 1/2^5

H = 1/2^36

Vậy H = 1/2^36

ko bt nhưng cx chúc bn hok tốt

AI FAN A.R.M.Y ĐIỂM DANH PHÁT NÀ :V

\(\Leftrightarrow\dfrac{2\cdot3\cdot...\cdot31}{\left(2\cdot3\cdot...\cdot31\right)\cdot\left(2\cdot2\cdot...\cdot2\right)\cdot2^6}=2^x\)

=>2^x=1/2^36

=>x=-36

ta co: 1/4=1/2(1+1) ;

2/6 = 1+1/2(2+1)..... 
=>ve trai =n/2(n+1).(n+1)/2(n+2).(n+2)/2(n+3)..... 
= (1/2)^36 
=> n= - 36

(1.2.3.4.5....31)/(2(1.2.3.4.5.....31).64)=2^x

1/(2.64)=2^x

1/128=2^x

2^-7=2^x

=>x=-7

cảm ơn bạn