ellamarie922
ellamarie922 ellamarie922
  • 21-05-2022
  • Mathematics
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Without using a calculator find the exact value of ln6(1/36)

Without using a calculator find the exact value of ln6136 class=

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Hrishii
Hrishii Hrishii
  • 21-05-2022

Answer:

-2

Step-by-step explanation:

  • [tex]In_6\bigg(\frac{1}{36}\bigg)[/tex] (Given)

  • [tex]= In_6\bigg(\frac{1}{6^2}\bigg)[/tex]

  • [tex]=In_6(6^{-2})[/tex]

  • [tex]=-2 In_6(6)[/tex]

  • [tex]=-2 (1)\:\:\:\[\because In_6(6)=1][/tex]

  • [tex]=-2 [/tex]
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