k)
(\frac{4}{9})^x*(\frac{3}{2})^{x-1}=\frac{27}{8}
(\frac{2}{3})^{2x}*(\frac{3}{2})^{x-1}=(\frac{3}{2})^3
(\frac{3}{2})^{-2x}*(\frac{3}{2})^{x-1}=(\frac{3}{2})^3
(\frac{3}{2})^{-2x+x-1}=(\frac{3}{2})^3
(\frac{3}{2})^{-x-1}=(\frac{3}{2})^3
-x-1=3
-x=4
x=-4
l)
2,5^{x+2}=0,4*0,16^x
(\frac{25}{10})^{x+2}=\frac{4}{10}*(\frac{4}{10})^{2x}
(\frac{5}{2})^{x+2}=\frac{2}{5}*(\frac{2}{5})^{2x}
(\frac{2}{5})^{-(x+2)}=(\frac{2}{5})^{1+2x}
-x-2=1+2x
-x-2x=1+2
-3x=3 |:(-3)
x=-1