Question

1/4 × 2/6 × 3/8 × 4/10 × 5/12.......30/62 × 31/64 = 2x

Answer 1

Bt ngay là bạn ghi sai đề

Answer 2

\(\dfrac{1}{4}.\dfrac{2}{6}.\dfrac{3}{8}.\dfrac{4}{10}.\dfrac{5}{12}...\dfrac{30}{62}.\dfrac{31}{64}=2x\)

\(\Rightarrow\dfrac{1}{2.2}.\dfrac{2}{2.3}.\dfrac{3}{2.4}.\dfrac{4}{2.5}.\dfrac{5}{2.6}...\dfrac{30}{2.31}.\dfrac{31}{2.32}\) = 2x

\(\Rightarrow\dfrac{1}{2}\left(\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.\dfrac{4}{5}.\dfrac{5}{6}...\dfrac{30}{31}.\dfrac{31}{32}\right)\) = 2x

\(\Rightarrow\dfrac{1}{2}\left(\dfrac{1.2.3.4.5...30.31}{2.3.4.5...31.32}\right)\) = 2x

\(\Rightarrow\dfrac{1}{2}.\dfrac{1}{32}=2x\)

\(\Rightarrow2x=\dfrac{1}{64}\)

\(\Rightarrow x=\dfrac{\dfrac{1}{64}}{2}=\dfrac{1}{64}.\dfrac{1}{2}=\dfrac{1}{128}\)

Answer 3

bạn ơi giải thích giúp mình với [ 1/2^x có bằng 4^x hay không ạ]