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}`