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blsea [12.9K]
3 years ago
9

What is the value of log279

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

log_{27}(9)

Let x= log_{27}(9)

Convert it into exponential form

 x= log_b(a) can be written as b^x= a

x= log_{27}(9) can be written as {27}^x= 9

27 is 3 times 3 times 3 . its 3^3

9 is 3 times 3 . its 3^2

{27}^x= 9

{3^3}^x= 3^2

{3}^{3x}= 3^2

Base are same so we equate the exponents

3x= 2

Divide both sides by 3

x= 2/3

kow [346]3 years ago
6 0
I believe it is 2.44560420327
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