tìm \(x\inℕ,\)biết:
\(2\cdot2^2+3\cdot2^3+4\cdot2^4+....+x\cdot2^x=2^{x+1}\)
Tìm x, biết: \(\frac{1}{2}\cdot2^x+4\cdot2^x-288=0\)
1. Tính:
a)\(81^3:3^5\)
b)\(16\cdot2^4\cdot\frac{1}{32}\cdot2^3\)
2. Tìm x:
a) \(\left(x-1\right)^5=32\)
b) \(\left(2^3:4\right)\cdot2^{\left(x+1\right)}=64\)
Tìm \(n\in N\)
\(2\cdot2^2+3\cdot2^3+4\cdot2^4+...+\left(n-1\right)\cdot2^{n-1}+n\cdot2^n=2^{n+34}\)
Tìm số ngyên n biết \(2^{-1}\cdot2^n+4\cdot2^n=9\cdot2^5\)
Tìm x:
\(\left(\frac{1}{3}+\frac{1}{6}\right)\cdot2^{x+4}-2^x=2^{13}-2^{10}\)
\(2^{x+1}\cdot2^y=12^x\)
Tìm x:
\(7\cdot2^x=2^9+5\cdot2^8\)
tìm n :\(2\cdot2^2+3.2^3+4\cdot2^4+.....+n\cdot2^n=2^{n+10}\)
