JBF_Logarithms Flashcards
1
Q
Log (10)
A
1.00
2
Q
Log (20)
A
1.30
3
Q
Log(30)
A
1.48
4
Q
Log (40)
A
1.60
5
Q
Log (50)
A
1.70
6
Q
Log (60)
A
1.78
7
Q
Log (70)
A
1.85
8
Q
Log (80)
A
1.90
9
Q
Log (90)
A
1.95
10
Q
Log (100)
A
2.00
11
Q
Log (200)
A
2.30
12
Q
Log (300)
A
2.48
13
Q
Log (300)
A
2.48
14
Q
Log (400)
A
2.60
15
Q
Log (500)
A
2.70
16
Q
Log (600)
A
2.78
17
Q
Log (700)
A
2.85
18
Q
Log (800)
A
2.90
19
Q
Log (900)
A
2.95
20
Q
Log Multiply
A
log𝑏 (𝑚𝑛) = log𝑏 (𝑚) + log𝑏 (𝑛)
21
Q
Log Division
A
logb (m/n) = logb (m) – logb (n)
22
Q
Log Multiply
A
log𝑏 (𝑚𝑛) = 𝑛 ⋅ log𝑏 (𝑚)
23
Q
A
log(1/𝑛)=−log(𝑛)
24
Q
A
logb (X^r) = r logb (X)
25
The basic idea
A logarithm is the opposite of a power. In other words, if we take a logarithm of a number, we undo an exponentiation.
For example, since we can calculate that 103=1000, we know that log101000=3 (“log base 10 of 1000 is 3”). Using base 10 is fairly common.
26
Logb (b) = 1