Question

I need help showing the work. please help

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the laws of logarithms

• log x + log y ⇔ log(xy)

• log x - log y ⇔ log ($\frac{x}{y}$)

• log $x^{n}$ ⇔ nlog x

Hence

2 $log_{3}$ x + $log_{3}$ 2x - $log_{3}$(x - 3)

= $log_{3}$ x² + $log_{3}$ 2x - $log_{3}$(x - 3)

= $log_{3}$ 2x³ - $log_{3}$(x - 3)

= $log_{3}$($\frac{2x^3}{x-3}$)