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# Logs by the Fire

### Summing to One

### Proving the Laws of Logarithms

### Factorial Fragments

### A Big Power

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You've probably seen the "log" button on your calculator, but do you know what it actually does? The resources below will help you to discover how the logarithm function works and how you can use it to solve problems.

Age 16 to 18

Challenge Level

This problem is a nice introduction that will give you a feeling for how logs work and what that button on your calculator might be doing.

Age 16 to 18

Challenge Level

Here you have an opportunity to explore the proofs of the laws of logarithms.

Age 16 to 18

Challenge Level

Here you have an expression containing logs and factorials! What can you do with it?

Age 16 to 18

Challenge Level

Have you ever tried to work out the largest number that your calculator can cope with? What about your computer? Perhaps you tried using powers to make really large numbers. In this problem you will think about how much you can do to understand such numbers when your calculator is less than helpful!