tìm \(x\inℕ,\)biết:

\(2\cdot2^2+3\cdot2^3+4\cdot2^4+....+x\cdot2^x=2^{x+1}\)

1 ) Tìm x biết

a) \(x^{10}\cdot\left(x^2\right)^{10}\cdot\left(x^3\right)^{10}\cdot...\cdot\left(x^{10}\right)^{10}\)

b)\(\frac{1}{2}\cdot2^x+4\cdot2^x=9\cdot2^5\)

c)\(3\cdot2^{x+2}=5\cdot2^3\)

Tìm x\(\in\)Z biết:

\(2\cdot2^2\cdot2^3\cdot2^4\cdot...\cdot2^x=1024\)

tìm x biết

1)\(-\frac{2}{3}\cdot\left(x-\frac{1}{4}\right)=\frac{1}{3}\cdot\left(2x-1\right)\)

2)\(\frac{1}{5}\cdot2^x+\frac{1}{5}\cdot2^{x+1}=\frac{1}{5}\cdot2^7+\frac{1}{3}\cdot2^8\)

Bài 1 Tìm số tự nhiên x biết

a) \(2^{3x+2}=4^{x+5}\)

b) \(2^x+2^x+4=272\)

c) \(\dfrac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}=\dfrac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}=2^x\)

d) \(2\cdot2^2+3\cdot2^2+4\cdot2^2+5\cdot2^2+...+x\cdot2^x=2^{x+10}\)

Thực hiện phép tính : 

a, 1 x 2 x 3 x ... x 9 - 1 x 2 x 3 x ... x 8 - 1 x 2 x 3 x ... x 7 x 8²

b, \(\frac{3\cdot4\cdot2^{16}}{11\cdot2^{13}\cdot4^{11}-16^9}\)

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 x:
\(3\cdot2^x+2^{x+3}=44\)

\(^{2^{x+1}\cdot2^1+4\cdot2^x}\)