Question

What is the value of log279

Answer 1

I believe it is 2.44560420327

Answer 2

2/3

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