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Resources tagged with Logarithmic functions similar to Complex Sine:

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Broad Topics > Functions and Graphs > Logarithmic functions

Complex Sine

Age 16 to 18 Challenge Level:

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.

Power Match

Age 16 to 18 Challenge Level:

Can you locate these values on this interactive logarithmic scale?

Log Attack

Age 16 to 18 Challenge Level:

Solve these equations.

Drug Stabiliser

Age 16 to 18 Challenge Level:

How does the half-life of a drug affect the build up of medication in the body over time?

Tuning and Ratio

Age 16 to 18 Challenge Level:

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

Function Pyramids

Age 16 to 18 Challenge Level:

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

Prime Counter

Age 16 to 18 Challenge Level:

A short challenge concerning prime numbers.

Age 16 to 18 Challenge Level:

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

Big, Bigger, Biggest

Age 16 to 18 Challenge Level:

Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?

Sierpinski Triangle

Age 16 to 18 Challenge Level:

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.

Equation Attack

Age 16 to 18 Challenge Level:

The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

Mixing Ph

Age 16 to 18 Challenge Level:

Use the logarithm to work out these pH values

Ph Temperature

Age 16 to 18 Challenge Level:

At what temperature is the pH of water exactly 7?

Extreme Dissociation

Age 16 to 18 Challenge Level:

In this question we push the pH formula to its theoretical limits.

Blood Buffers

Age 16 to 18 Challenge Level:

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

Harmonically

Age 16 to 18 Challenge Level:

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

What Do Functions Do for Tiny X?

Age 16 to 18 Challenge Level:

Looking at small values of functions. Motivating the existence of the Taylor expansion.