Respuesta :

Answer:

see explanation

Step-by-step explanation:

using the property of logarithms

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

given

x = [tex]\frac{ln81}{ln6-ln2}[/tex] = [tex]\frac{ln81}{ln(\frac{6}{2}) }[/tex] = [tex]\frac{ln81}{ln3}[/tex] ( multiply both sides by ln3 )

ln3 × x = ln81 ( divide both sides by ln3 )

x = [tex]\frac{ln81}{ln3}[/tex] = 4