AQA Certificate Level 3 Mathematical Studies₁₃₅₀

G6.1

using a calculator to find values of such a function

the laws of logarithms will not be required

G6.2

using a calculator log function to solve equations of the form ${\mathit{a}}^{\mathit{x}}\mathsf{=}\mathit{b}\mathit{}$ and ${\mathrm{e}}^{\mathit{k}\mathit{x}}\mathsf{=}\mathit{b}$

G7.1

understanding that $\mathrm{e}$ has been chosen as the standard base for exponential functions

knowing that the gradient at any point on the graph of ${\mathit{y}\mathsf{=}\mathrm{e}}^{\mathit{x}}$ is equal to the $\mathit{y}$ value of that point

G8.1

formulating and using equations of the form ${\mathit{y}\mathsf{=}\mathit{C}\mathit{a}}^{\mathit{x}}$ and ${\mathit{y}\mathsf{=}\mathit{C}\mathrm{e}}^{\mathit{k}\mathit{x}}$

G8.2

using exponential functions to model growth and decay in various contexts