Solve $3^x=3^6$3x=36.

Solve $6^x=6^{-3}$6x=6−3.

Solve $6^x=6^{\frac{4}{3}}$6x=643.

Solve $\left(\frac{5}{8}\right)^x=\left(\frac{5}{8}\right)^9$(58)x=(58)9.

Explore the connection between algebraic and graphical representations of relations such as simple quadratic, reciprocal, circle and exponential, using digital technology as appropriate