exam Maths Puzzle Numerical Ability

Not from a text book.
I am trying to understand how the definition of an exponential function impacts the definition and graph of y=logbx!
Thnaks for any suggestions...much appreciated!

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exam Other Question

Given three successive 1:100 dilutions (into bottles A, B, C) from a culture sample cotaining 120,000,000 organisms pere milliliter, calculate the number of organisms per millilite ok.....what is the communtive property?