Respuesta :
The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.
Let x is the unknown value
We have to determine the value of x
[tex]Log_6 ( 1/36) = x....Given[/tex]
What is the meaning of logarithmic function?
Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.
[tex]( 1/36) = 36^{-1} = (6^{2})^{-1} = 6^{-1}[/tex]
[tex]Log_6( 1/36) = Log_6 6^{-2} = -2 Log_6 6[/tex]
We know that,
[tex]log_aa=1[/tex]
Therefore by applying the above rule of log we have
[tex]Log_6 6 = 1[/tex]
Therefore we get
[tex]-2 Log_6 6 = -2(1) = -2[/tex]
Therefore option 2 is correct.
To learn more about the logarithmic expression visit:
https://brainly.com/question/1832186
