The value of both the logarithmic expressions is equal which is equal to the negative one.
What is a logarithm?
Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The expressions are given below.
[tex]\log _3 \dfrac{1}{3} \ and \ \log _b \dfrac{1}{b}[/tex]
This can be written as
[tex]\log _3 3^{-1} \\\\\log _bb^{-1}[/tex]
We know that the property of the logarithm
[tex]\log _a a = 1\\\\\log a^b = b\log a[/tex]
Then we have
[tex]\log _3 3^{-1} = -1 \log _33 = -1\\\\\log _bb^{-1} = -1 \log _bb = -1\\[/tex]
The value of both the expressions is equal which is equal to the negative one.
More about the logarithm link is given below.
https://brainly.com/question/7302008
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