Respuesta :

Option 1: [tex]ln\ \frac{b^3}{x^4}[/tex] is the right answer

Step-by-step explanation:

Given statement is:

[tex]3\ ln\ b - 4\ ln\ x[/tex]

First of all we will see about the numbers that are written with the log

The exponent property of log states that

[tex]ln\ (x^y) = y\ ln\ x[/tex]

Using the property

[tex]= ln\ b^3 - ln\ x^4[/tex]

The division property of log states that:

[tex]ln\ (\frac{x}{y}) = ln\ x - \-ln\ y[/tex]

Using this property

[tex]=ln\ \frac{b^3}{x^4}[/tex]

Hence,

Option 1: [tex]ln\ \frac{b^3}{x^4}[/tex] is the right answer

Keywords: Natural log, properties of log

Learn more about natural log at:

  • brainly.com/question/8196933
  • brainly.com/question/8136925

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