Steps to calculate \(\displaystyle{{\log}_{{2}}{0.667}}\) This could be a

rhedynogh0rp

rhedynogh0rp

Answered question

2022-04-02

Steps to calculate log20.667
This could be a basic question. But I would like to know steps I should follow to calculate log20.667

Answer & Explanation

membatas0v2v

membatas0v2v

Beginner2022-04-03Added 19 answers

For a rough approximation notice that
0.66723
so log2(23)=log2(2)log2(3)=1log2(3)
From here one can use a change of bases. Like in the answers above
log0.6671ln3ln2
(For the wise kids we know that ln20.69 and ln31.1 so )
log0.6671ln3ln211.10.69=41690.59
Which is quite a good approximation

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