Question

\(2^{x}+2^{x+2}+2^{x+4}=1024\)

Answer 1

\(2^x+2^{x+2}+2^{x+4}=1024\)

=>\(2^x\left(1+2^2+2^4\right)=1024\)

=>\(2^x=\dfrac{1024}{21}\)

=>\(x=log_2\left(\dfrac{1024}{21}\right)\)

Answer 2

\(2^x+2^{x+2}+2^{x+4}=1024\\\Rightarrow 2^x+2^x\cdot2^2+2^x\cdot2^4=1024\\\Rightarrow 2^x\cdot(1+2^2+2^4)=1024\\\Rightarrow 2^x\cdot(1+4+16)=1024\\\Rightarrow 2^x\cdot21=1024\\\Rightarrow 2^x=\dfrac{1024}{21}\)

\(\Rightarrow \) Bạn xem lại đề bài!