The expression which is equivalent to the given expression is ln 3x³. The correct option is A. ln 3x³
From the question, we are to determine which expression is equivalent to the given expression
The given expression is
[tex]4 \ ln\ x + \ ln\ 3 - ln\ x[/tex]
By applying laws of logarithm, we get
[tex]ln\ x^{4} + \ ln\ 3 - ln\ x[/tex]
[tex]ln\ \frac{x^{4} \times 3}{x}[/tex]
This becomes
[tex]ln \ x^{3} \times 3[/tex]
[tex]ln \ 3x^{3}[/tex]
= ln 3x³
Hence, the expression which is equivalent to the given expression is ln 3x³. The correct option is A. ln 3x³
Complete and correct question can be found in the attachment
Learn more on Natural logarithms here: https://brainly.com/question/3417575
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