The formula in a natural logarithm can be written as

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]