1. Lesson 3

1.7. Explore 6

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

Earlier, you saw that logarithms were useful when expressing very large numbers associated with earthquakes. Logarithms can also be useful when describing small numbers, such as the hydrogen concentration of a solution.

 

With earthquakes, the strength of the amplitude was calculated using the magnitude. You learned that even though the difference between magnitudes was small, the corresponding difference in amplitude was large. The acidity levels of different solutions can also be compared using a similar method.



textbook

Read “Example 6” on pages 433 and 434 of your textbook to see how logarithms can be used to compare the pH of solutions.

 

 

Self-Check 3

 

Complete “Your Turn” for “Example 6” on page 434 of your textbook. Answer


glossary
Add the following terms to your copy of Glossary Terms:
  • logarithm
  • base
  • pH scale
  • Richter scale

formula sheet

Add the following to your copy of Formula Sheet:


 

y = loga x ↔ ay = x