Question

ai giúp mik bài số 5 vs

Answer 1

a) \(2^{x+2}-2^x=96\)

\(\Rightarrow2^x\left(2^2-1\right)=96\)

\(\Rightarrow2^x.3=96\)

\(\Rightarrow2^x=32\)

\(\Rightarrow2^x=2^5\Rightarrow x=5\)

b) \(2^{x-1}+4.2^x=9.2^5\)

\(\Rightarrow2^x\left(2^{-1}+4\right)=288\)

\(\Rightarrow2^x.\dfrac{9}{2}=288\)

\(\Rightarrow2^x=64\)

\(\Rightarrow2^x=2^6\Rightarrow x=6\)