Evaluate the logarithmLog 6 1/36

Haphazard asked Nov 27, 2023

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Haphazard asked Nov 27, 2023

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17 votes

Answer:

-2

Step-by-step explanation:

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

$\log _6((1)/(36))=\log _61-\log _636$

Now, log₆(1) = 0 and log₆36 = 2, so

$\begin{gathered} \log _6((1)/(36))=0-2 \\ \log _6((1)/(36))=-2 \end{gathered}$

Therefore, the answer is -2

Thorgeir answered Dec 2, 2023

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