[tex]\bf ln(x)=4.3657\iff log_e(x)=4.3657\\\\
-----------------------------\\\\
{{ a}}^{log_{{ a}}x}=x\impliedby \textit{log cancellation rule}\\\\
-----------------------------\\\\
e^{log_e(x)}=e^{4.3657}\implies x=e^{4.3657}[/tex]
now, for the other, we use the same cancellation rule
[tex]\bf ln(3x)=6\iff log_e(3x)=6\implies e^{log_e(3x)}=e^{6}
\\\\\\
3x=e^6\implies x=\cfrac{e^6}{3}[/tex]
