JBF_Logarithms

Question 1

Log (10)

Answer 1

1.00

Question 2

Log (20)

Answer 2

1.30

Question 3

Log(30)

Answer 3

1.48

Question 4

Log (40)

Answer 4

1.60

Question 5

Log (50)

Answer 5

1.70

Question 6

Log (60)

Answer 6

1.78

Question 7

Log (70)

Answer 7

1.85

Question 8

Log (80)

Answer 8

1.90

Question 9

Log (90)

Answer 9

1.95

Question 10

Log (100)

Answer 10

2.00

Question 11

Log (200)

Answer 11

2.30

Question 12

Log (300)

Answer 12

2.48

Question 13

Log (300)

Answer 13

2.48

Question 14

Log (400)

Answer 14

2.60

Question 15

Log (500)

Answer 15

2.70

Question 16

Log (600)

Answer 16

2.78

Question 17

Log (700)

Answer 17

2.85

Question 18

Log (800)

Answer 18

2.90

Question 19

Log (900)

Answer 19

2.95

Question 20

Log Multiply

Answer 20

log𝑏 (𝑚𝑛) = log𝑏 (𝑚) + log𝑏 (𝑛)

Question 21

Log Division

Answer 21

logb ⁡(m/n) = logb⁡ (m) – logb ⁡(n)

Question 22

Log Multiply

Answer 22

log𝑏 (𝑚𝑛) = 𝑛 ⋅ log𝑏 (𝑚)

Answer 23

log(1/𝑛)=−log(𝑛)

Answer 24

logb (X^r) = r logb (X)

Question 25

The basic idea

Answer 25

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.

Question 26

Logb (b) = 1