The logarithmic expression [tex]\log_36[/tex] can be written in the form of base 2 as [tex]{\log_{2} 6}/{\log_{2} 3}[/tex] and this can be determined by using the logarithmic properties.
Given :
Logarithmic expression -- [tex]\log_36[/tex]
The following steps can be used in order to write the given logarithm as a logarithm of base 2:
Step 1 - First equate the given expression with a variable 'x'.
[tex]x = \log_36[/tex]
Step 2 - The logarithm properties can be used in order to write the given logarithm as a logarithm of base 2.
Step 3 - The base property of the logarithm is used to write the given logarithm as a logarithm of base 2.
[tex]\log_ab=\dfrac{\log_{c} b}{\log_{c} a}[/tex]
[tex]\log_36=\dfrac{\log_{2} 6}{\log_{2} 3}[/tex]
From the above steps, it can be concluded that the correct option is B).
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https://brainly.com/question/13473114
