\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=960\)
\(2^x+2^x\cdot2+2^x\cdot2^2+2^x\cdot2^3=960\)
\(2^x\cdot\left(1+2+2^2+2^3\right)=960\)
\(2^x\cdot15=960\)
\(2^x=64=2^6\)
\(\Rightarrow x=6\)
2x + 2x+1 + 2x+2 + 2x+3 = 960
2x + 2x .2 + 2x.4 + 2x.8 = 960
2x.(1+2+4+8) = 960
2x . 15 = 960
2x = 64 = 26
=> x = 6
=)2x+2x×2+2x×22+2x×23=960
=)2x(1+2+4+8)=960
=)2x×15=960
=)2x=64
=)x=√64=)x=8