a) \(16^x:4^x=16\)
\(\Rightarrow\left(16:4\right)^x=16\Rightarrow4^x=16\Rightarrow x=2\)
b) \(\Rightarrow2^x\left(2^{-1}+4\right)=72\)
\(\Rightarrow2^x.\dfrac{9}{2}=72\Rightarrow2^x=16\Rightarrow x=4\)
c) \(\Rightarrow2x+1=-4\)
\(\Rightarrow2x=-5\Rightarrow x=-\dfrac{5}{2}\)
d) \(\Rightarrow\left[{}\begin{matrix}3x-2=9\\3x-2=-9\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}3x=11\\3x=-7\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=\dfrac{11}{3}\\x=-\dfrac{7}{3}\end{matrix}\right.\)









