This pdf has around 50 questions on graphing logarithms and exponentials.
Question 1 looks at the shape of the graphs, asymptotes and points of intersection with axes.
Question 2 looks at finding the inverse of a logarithmic or exponential function.
Question 3 looks at finding the equation of the graph given 2 points on the curve.
Question 4 looks at using logs to create a straight line graph.
This is a very thorough set of questions which covers all that you will need.
Answers are included.
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