Algebra II Mr. Gilbert

1
Algebra IIMr. Gilbert

• Chapter 10.4
• Common Logarithms
• Standard Honors

2
Agenda

• Warm up
• Work book (participation grade)
• Lesson
• Homework

3
Homework Review
4
Communicate Effectively

• pH level hydrogen ion h concentration
• 1.0 battery acid, - 4.2 Tomatoes, - 5.0 Black
  Coffee
• 7.0 Pure Water
• 7.8 Eggs, - 10.0 Milk of Magnesia, 13.5 Lye
• pH Formula

• Erg measure of energy and mechanical work, the
  force required to accelerate a mass of one gram
  at a rate of one centimeter per second squared.
• Richter Magnitude Formula
• M 2/3 log10 E E seismic energy in
  10,000,000 ergs.

5
Examples Richter Magnitude Scale (do not copy)

• -1.5 Breaking a rock on a lab table
• 1.0 Large Blast at a Construction Site
• 2.0 Large Quarry or Mine Blast
• 4.0 Small Nuclear Weapon
• 4.5 Average Tornado (total energy)
• 6.0 Double Spring Flat, NV Quake, 1994
• 7.0 Largest Thermonuclear Weapon
• 8.0 San Francisco, CA Quake, 1906
• 9.0 Chilean Quake, 1960
• 10.0 (San-Andreas type fault circling Earth)
• 12.0 (Fault Earth in half through center)
• Source http//staff.imsa.edu/science/geophysics/g
  eosphere/tectonics/eqenergy.html

6
Example 1 Find Common Logarithms (2) Example
2 Solve Logarithmic EquationsUsing
Exponentiation (3) Example 3 Solve Exponential
Equations Using Logarithms (2) Example 4 Solve
Exponential Inequalities Using Logarithms
(3) Example 5 Change of Base Formula (2)
Formula
7
Example 4-1a
Use a calculator to evaluate log 6 to four
decimal places.
Answer about 0.7782
Use a calculator to evaluate log 0.35 to four
decimal places.
Answer about 0.4559
8
Example 4-1c
Use a calculator to evaluate each expression to
four decimal places. a. log 5 b. log 0.62
Answer 0.6990
Answer 0.2076
9
Example 4-2a
10
Example 4-2b
11
Example 4-2c
12
Example 4-3a
13
Example 4-3c
Answer 2.5789
14
Example 4-4a
15
Example 4-4b
16
Example 4-4d
17
Example 4-4e
18
Example 4-5a
19
Example 4-5b
20
Homework
See Syllabus 10.4