Question

 \(2^{-1}.2^x+4.2^x=9.2^5\)

Answer 1

\(2^{-1}.2^x+4.2^x=9.2^5\)

\(\frac{1}{2}.2^x+4.2^x=9.2^5\)

\(2^x\left(\frac{1}{2}+4\right)=9.2^5\)

\(2^x.\frac{9}{2}=288\)

\(2^x=288:\frac{9}{2}\)

\(2^x=64\)

\(2^x=2^6\)

\(\Rightarrow x=6\)

Answer 2

1/2*2^x+4*2^x=9*25

(1/2+4)*2^x=225

9/2*2^x=225

2^x=225:9/2

2^x=50

=>x\(\in\phi\)