JanayiaA340600 JanayiaA340600
  • 25-10-2022
  • Mathematics
contestada

Evaluate the logarithmLog 6 1/36

Respuesta :

NoelS584186 NoelS584186
  • 25-10-2022

Answer:

-2

Explanation:

By properties of logarithms, the logarithm of a fraction is equal to the difference of logarithms, so

[tex]\log _6(\frac{1}{36})=\log _61-\log _636[/tex]

Now, log₆(1) = 0 and log₆36 = 2, so

[tex]\begin{gathered} \log _6(\frac{1}{36})=0-2 \\ \log _6(\frac{1}{36})=-2 \end{gathered}[/tex]

Therefore, the answer is -2

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