Question

Evaluate the logarithmLog 6 1/36

Answer 1

-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