1. 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

2. Logarithms
• Binary uses base 2. Now, work out the
20 = 1 log2(1) = 0 first 5 numbers in log
21 = 2 log2(2) = 1 base 5.
22 = 4 log2(4) = 2
23 = 8 log2(8) = 3
24 = 16 log2(16) = 4
25 = 32 log2(32) = 5

3. Materials and
Case Studies

4. 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?

5. 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