Question

How do I solve step by step and the answer to lnX=4.3657

Answer 1

$\bf ln(x)=4.3657\iff log_e(x)=4.3657\\\\ -----------------------------\\\\ {{ a}}^{log_{{ a}}x}=x\impliedby \textit{log cancellation rule}\\\\ -----------------------------\\\\ e^{log_e(x)}=e^{4.3657}\implies x=e^{4.3657}$

now, for the other, we use the same cancellation rule

$\bf ln(3x)=6\iff log_e(3x)=6\implies e^{log_e(3x)}=e^{6} \\\\\\ 3x=e^6\implies x=\cfrac{e^6}{3}$