recognise the qualitative features of the graph of 𝑦=log_𝑎(𝑥) (𝑎>1), including asymptotes, and of its translations 𝑦=log_𝑎(𝑥)+𝑏 and 𝑦=log_𝑎(𝑥+𝑐)
define the natural logarithm ln 𝑥 = log_e x
recognise and use the inverse relationship of the functions 𝑦=𝑒^𝑥 and 𝑦=lnx
