Logarithms

• We live in a log base 10 world we measure and count in powers of ten.

100 = 1 log10(1) = 0

101 = 10 log10(10) = 1

102 = 100 log10(100) = 2

103 = 1,000 log10(1,000) = 3

104 = 10,000 log10(10,000) = 4

105 = 100,000 log10(100,000) = 5

Logarithms

• Binary uses base 2.

20 = 1 log2(1) = 0

21 = 2 log2(2) = 1

22 = 4 log2(4) = 2

23 = 8 log2(8) = 3

24 = 16 log2(16) = 4

25 = 32 log2(32) = 5

Now, work out the first 5 numbers in log base 5.

Materials and Case Studies

Material Properties Diagrams

• Which materials are the toughest

• Which materials are the strongest

• Which are the weakest and the most brittle?

• How do we know that a logarithmic scale is being used?

Top Tips for Case Studies

• Look at the properties we have discussed in lessons (strength, toughness, elasticity….)

• Discuss the applications of the material

• Make sure you understand EVERYTHING you have written down on the sheet

• Including properties like Young’s Modulus would be beneficial

• You have until the first week of December to get this done