Date:
Exponentials & Logarithms
Page:
Some review…. solve…..
8 x 6
3 x4
 32
2 x 1
16
2 – 5x + 22 = 2 15x - 20
2 
2 
- 5x + 22 = 15x - 20
3 x6
4 2 x 1
 
 2
5 3 x4
23 x 18
15x  20

2
28 x  4
- 20x = - 42
x = 2.1
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Date:
Exponentials & Logarithms
Consider the equation …
Page:
2 4 = 16
The base is “2”, the exponent is “4” and the value is “16”
2 4 = 16
value
base
exponent
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Date:
Exponentials & Logarithms
We can say …
Page:
2 4 = 16
Or we can say …
Consider the equation:
Log216 = 4
Log5 625 = x
We can re-write this to ask the question:
5 raised to what exponent (x) will give 625 ?
OR ….
5 x = 625
What is the answer?
4
5 = 625
x=4
Log5 625 = 4
NEXT
Date:
Exponentials & Logarithms
Page:
Therefore, a logarithm is an exponent.
The number inside the log is the “answer” when you raise the base to the
exponent.
Let’s try some…
Log
Exponential
format
format
Equation
x=
Log3 243 = x
x= 5
Log3 243 = 5
3 5 = 243
Logx 64 = 3
x=
4
Log4 64 = 3
4 3 = 64
Log2 x = 7
x=
128
Log2 128 = 7
2 7 = 128
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Exponents I
Date:
Page:
A quadratic looks like this:
A cubic looks like this:
yx
3
yx
An EXPONENTIAL looks like this:
2
y  2x
y  3x
1
y 
2
x
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Exponents II
Date:
Page:
y2
x
Remember Mr. Hunter’s
magic formula….
1
y 
2
x
yk
 xh
 f

b
 a 
NEXT
Class Work
Pages 160 # 4
Page 162 #9 (b)
Page 167 to 170
#1a,b,c,e,I
#2 a , b , c , e , h , j
#3 h , I
#4 k , m , q , t