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Which expression has a greater value: log^3 1/3 or log ^b 1/b? Explain how you know.

Which Expression Has A Greater Value Log3 13 Or Log B 1b Explain How You Know class=

Sagot :

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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