parsonsjosh312 parsonsjosh312
  • 20-05-2019
  • Mathematics
contestada

What is 3 In3-In9 expressed as a single natural logarithim

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DeanR
DeanR DeanR
  • 20-05-2019

[tex] 3 \ln 3 - \ln 9 = 3 \ln 3 - \ln 3 ^2 = 3 \ln 3 - 2 \ln 3 = \ln 3[/tex]

Answer: [tex]\ln 3[/tex]

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jimrgrant1 jimrgrant1
  • 20-05-2019

Answer:

ln 3

Step-by-step explanation:

Using the rules of logarithms

• log [tex]x^{n}[/tex] ⇔ n logx

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

Given

3 ln3 - ln9, then

= ln 3³ - ln 9

= ln 27 - ln 9

= ln ([tex]\frac{27}{9}[/tex] ) = ln 3

Answer Link

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