simplify log 27, log 9?

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Abrahamdami555

3 Jan, 2021

Jigawa State Polytechnic

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Answers (3)

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log 27 =log sub 10 3³ = 3log3

log 9= log sub 10 3² = 2log3

ADE.me
5 years ago

The answer is 23 . log27(9) can be interpreted as " 27 to what power is equal to 9 . Since 2723=32=9,log27(9)=23 .

Emmyrosh
5 years ago

Log 27
Log(27)/Log(3)
Re write log (27) as log(3³)
Log (3³)/log (3)
Expand log (3³) by moving 3 outside the logarithm .
=3log(3)/log (3)
=3.
While
Log 9
=log (9/3)
Divide 9 by 3
=log 3
Decimal form
0.4771225...
=0.5

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