How many 2s do we multiply to get 8?
Answer:
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
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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