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
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