Ta có\(\frac{1.2.3.4.5...31}{2.4.6.8.10...62.64}=\frac{1.2.3.4...31}{1.2.3.4...32.2^{32}}=\frac{1}{32.2^{32}}=\frac{1}{2^5.2^{32}}=\frac{1}{2^{37}}=\frac{1}{\left(2^2\right)^{18,5}}=\frac{1}{4^{18,5}}=4^{-18,5}\)
=> x = -18,5
Các câu hỏi tương tự
Tìm x:
1/4 . 2/6 . 3/8 . ... . 30/62 . 31/64 = 4x
Ta có: (1/4)*(2/6)*(3/8)*(4/10)*(5/12)*...*(30/62)*(31/64)=2^x. Tìm x
1/4 x 2/6 x3/8 x 4/10 x 5/12 x....x 30/62 x 31/64=2n. Tìm n
tìm x biết :
(1/4).(2/6).(3/8).(4/10).(5/12)....(30/62).(31/64) = 2^x
DT
27 tháng 3 2022 lúc 7:51
Tìm x, biết \(\dfrac{1}{4}.\dfrac{2}{6}.\dfrac{3}{8}.\dfrac{4}{10}.\dfrac{5}{12}...\dfrac{30}{62}.\dfrac{31}{64}=2^x\)
Tìm x biết:\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}...\frac{30}{62}.\frac{31}{64}=2^x\)
Tìm x biết : \(\frac{1}{4}\times\frac{2}{6}\times\frac{3}{8}\times\frac{4}{10}\times.......\times\frac{30}{62}\times\frac{31}{64}=2^x\)
Tìm x
1/3.2/6.3/8.4/10...31/64=2x
(x-1)x+2=(x-1)x+4
1/ 4 . 2/6 . 3/8 . 4/10 . 5/15 .... 30/62 . 31/64= 2x