This is a tailored logs worksheet for NSW HSC students doing the Mathematics Adv. (2 unit) course in 2018.
Addressing syllabus dot points:
12.2 Definition of logarithm to the base a. Algebraic properties of logarithms and exponents.
12.3 The functions y=a^x and y=loga(x) for a>0 and real x. Change of base.
It is also a useful worksheet for anyone studying logarithms, with full worked answers.