Exponential and logarithmic functions

Investigate the mathematics behind blood buffers and derive the form of a titration curve.

Why is the modern piano tuned using an equal tempered scale and what has this got to do with logarithms?

Compares the size of functions f(n) for large values of n.

A short challenge concerning prime numbers.

What is the total area of the triangles remaining in the nth stage of constructing a Sierpinski Triangle? Work out the dimension of this fractal.

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

Solve the equation sin z = 2 for complex z. You only need the formula you are given for sin z in terms of the exponential function, and to solve a quadratic equation and use the logarithmic function.