4. Let x and y be positive real numbers. Write down the following as a single logarithm:

5. Solve the equation for x

Solution:

or

x = -3 could not be a solution because it will result in a negative argument to the log function. Therefore, the solution is x = 4

Mathcad solution

Solution of Old Exams Problems

Chapter 4

1. Sketch the graph of Write down the range of g and all the asymptotes (if any)

Solution:

2. Find the values of

(i)

Mathcad Solution:

(ii)

3. Let f(x) be a logarithmic function such that f(2) = 3. Find the value of f(4).

Let