The given equation is:
[tex]97=a^3[/tex]
Taking the natural logarithm of both sides of the equation, we have:
[tex]\ln{(97)}=\ln(a^3)[/tex]
Using the Power Rule of Logarithm, it follows that:
[tex]3\ln(a)=\ln(97)[/tex]
Therefore, the required logarithmic equation is:
3ln(a) = ln(97)
