Isnin, 11 Julai 2016

LOGARITHM - Part 3

Example 1: 

How many 2s do we multiply to get 8?


Answer: 

2 x 2 x 2 = 8


so we needed to multiply 3 of the 2s to get 8.


So the logarithm is 3.


How to Write it:
We write "the number of 2s we need to multiply to get 8 is 3" as:

log2(8) = 3



Example 2:
What is log5(625) ... ?

We are asking "how many 5s need to be multiplied together to get 625?"

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

Answer: log5(625) = 4



Example 3:

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


Exercise:

What is log3(27) ... ?


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