aisha55821 aisha55821
  • 26-03-2024
  • Mathematics
contestada


How is x=4?

X=ln(81)/(ln(6)-ln(2))

How is x4 Xln81ln6ln2 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 26-03-2024

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

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