TOPIC 4: LOGARITHM

LOGARITHM

 

 Logarithm is the power to which a number must be raised

in order to get some other number. It is also quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

 

Logarithm Form: 16 = 2⁴                              

                              Log ₂ 16 = 4

                              64 = 8²

                              Log ₈ 64 = 2

 

 

 

Determine the value of logarithm: Log ₃ 9

                                                 9 = 3² 

 

 

Example1

 

the base ten logarithm of 100 is 2, because ten raised to the power of two is 100 :

log 100 = 2 it is because 10² = 100

Example2

What Is log₅(625)?

5 × 5 × 5 × 5 = 625, so we need 4 of the 5s.

Answer: log₅(625) = 4 

 

 

 



 Example3

 

What is log₂(64)?

We are asking "how many 2s need to be multiplied together to get 64?

2 × 2 × 2 × 2 × 2 × 2 = 64, so we need 6 of the 2s.

Answer: log₂(64) = 6

 

 

 

 

This are the 3 question for you to try.

 

1. log₁₀(100) 

2. log₃(81)

3. log₄(256)