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Algebra 2 Notes
Ch. 9 – Exponential & Logarithmic Functions
ALGEBRA 2
9.6 LOGARITHMIC SCALES
NAME _________________
I. Linear Scales (Middle of p. 565)
These aren’t in the reading…think about them.
* _____________ between numbers is constant.
↓
- To get from one number to the next you have to either ________ or ________________.
- From one number to the next forms a(n) arithmetic geometric sequence. (circle one)
II. Logarithmic Scales (Middle of p. 565)
These aren’t in the reading…think about them.
* __________ between numbers is constant.
↓
- To get from one number to the next you have to either _____________ or _____________.
- From one number to the next forms a(n) arithmetic geometric
sequence. (circle one)
A. Decibel Scale (dB) (Back to the beginning)
* The numbers in decibels go up in jumps of _______.
* Each jump of ______ on the scale, the intensity is multiplied by _______.
* Two jumps on the decibel scale (like from a 20 to a 40) would be an increase of
intensity of ________.
B. pH Scale
* Measures the strength of acids (________ic) and bases (___________ine).
* Label the line below with the labels: strong acid
neutral
weak base
ACIDS
0
1
2
3
strong base
weak acid
BASES
4
5
6
7
8
9
10 11 12 13 14
* The H+ concentration of an acid or base = 10(– pH number)
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Algebra 2 Notes
Ch. 9 – Exponential & Logarithmic Functions
- For example, something with a pH of 5 has a H+ concentration of 10– 5
- Something with a pH of 13 has a H+ concentration of ________
* Each jump of 1, the H+ concentration increases by 10x.
C. The Richter Scale
* Measures the strength of _________________.
- Has been replaced by the Moment Magnitude Scale. It gives basically the same values
until you get to the higher magnitudes (around 7 or 8).
* Each jump of 1 number on the Richter scale symbolizes an earthquake that gives off
waves that are 10x as large!
* To get the size (amplitude) of the waves given off by an earthquake,
do 10# on Richter Scale
(This comes up in the applying the math questions…)
How much larger is a magnitude 7.2 earthquake than a magnitude 4.8?
k ⋅107.2
= 10(7.2−4.8) = 102.4 = 251.2 times larger
4.8
k ⋅10
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