Respuesta :

Given:

[tex]Log_936[/tex]

To Determine: The natural logarithm form of the given logarithms

Solution

The natural logarithm of x is the base e logarithm of x. This is as shown below

[tex]\begin{gathered} Loagrithmform=Logx \\ Naturallogarithm=Log_ex \end{gathered}[/tex]

Apply the rule above into the given logarithm

[tex]\begin{gathered} Log_936=\frac{Log_e36}{Log_e9} \\ Log_936=\frac{ln36}{ln9} \end{gathered}[/tex]

Hence,

[tex]L(x)=\frac{ln36}{ln9}[/tex]

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