a.⇔5x.512−32x=32x.3−2−5x.5−12⇔5x(512+5−12)=32x(3−2+1)⇔(53)x.(6√55=3x.109⇔(59)x=1096√55⇔x=32
a.⇔5x.512−32x=32x.3−2−5x.5−12⇔5x(512+5−12)=32x(3−2+1)$\Leftrightarrow(\frac{5}{3})^{x}.(\frac{6\sqrt{5}}{5}
)=3^x.\frac{10}{9}
⇔(59)x=1096√55\Leftrightarrow x= \frac{3}{2}$