Let b be a real number. By considering properties of exponential functions, show that the points P(1,0) and Q(6²,2) 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 express exponentials in text, the symbol '^' can be used. For example, two cubed can be expressed as '2^3'.

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'.

Determine the domain of f(x) = log5(x^2 - 2x - 15) and write using interval notation.

A vehicle purchased for $25000 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 15 years after purchase. Round to the nearest whole number.

Please answer all 5 and 6 first , not graded thanks

Do not know how to do