Question

What is the value of log279

Answer 1

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

Answer 2

I believe it is 2.44560420327