1. Consider the logarithmic functions f(x)= -2 log (2x-8).

a) State the x-intercepts, y-intercept and asymptote

b) Sketch the graph of y=f(x)

c) Determine the values of x for which f(x)>=0

2 State the transformations needed to transform the graph of y =1 - 4 log(x+3) - 1 into the graph of y=- 2 log(x+5)+2.

3 Show how a magnitude 7 earthquake is 100 times stronger than a magnitude 5 earthquake.

4 Describe how the graph of f(x)= log (fourth root2) is related to g(x)= logx .

5 State the restrictions (or equation of the vertical asymptote) of the following logarithmic function y = log (x + 4) 1

6 Describe how the transformations on the function y = 2 log 2( x 3) are different from the function y = 2 log 2(x 3)