5) Find an exponential function with horizontal asymptote y = 3 whose graph contains the points (0,4) and (1,5).

Let b be a real number. By considering properties of exponential functions, show that the points P(1,0) and Q(b²,2) are points on the curve C given by y = log, (x) for b>1. Note that your response should be written in sentences, and logically justified to gain full marks. To express exponentials in text, the symbol '^' can be used. For example, two cubed can be expressed as '2^3'.

in the exponential function h(t)=a(b)^t it is known that (4,6) and (8,0.5) are points on the curve. what is the value of b

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