Tìm x biết \({\left( {\frac{2}{3}} \right)^x} = {\left( {\frac{8}{{27}}} \right)^2}\)

* Hướng dẫn giải

 \(\begin{aligned} &{\left( {\frac{2}{3}} \right)^x} = {\left( {\frac{8}{{27}}} \right)^2}\\ &{\left( {\frac{2}{3}} \right)^x} = {\left[ {{{\left( {\frac{2}{3}} \right)}^3}} \right]^2}\\ &{\left( {\frac{2}{3}} \right)^x} = {\left( {\frac{2}{3}} \right)^6}\\ &x = 6 \end{aligned}\)