aubreyshafer
aubreyshafer aubreyshafer
  • 03-05-2017
  • Mathematics
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How do I solve step by step and the answer to lnX=4.3657

How do I solve step by step and the answer to lnX43657 class=

Respuesta :

jdoe0001 jdoe0001
  • 03-05-2017
[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]
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