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Write the expression below as a single logarithm in simplest form.
$\log_{b} 6 - \log_{b} 6$

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$\log_{b}$
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So, the simplified form of the expression $\log_{b} 6 - \log_{b} 6$ is $0$ .

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Step 1 ：The question is asking to simplify the expression $\log_{b} 6 - \log_{b} 6$ .

Step 2 ：From the properties of logarithms, we know that the difference of two logarithms with the same base is equivalent to the logarithm of the quotient of the numbers.

Step 3 ：Therefore, we can simplify the expression as $\log_{b} \frac{6}{6}$ .

Step 4 ：Since any number divided by itself is 1, the expression simplifies to $\log_{b} 1$ .

Step 5 ：Finally, the logarithm of any base to the power of 1 is always 0.

Step 6 ：So, the simplified form of the expression $\log_{b} 6 - \log_{b} 6$ is $0$ .

QuestionWatch VideoWrite the expression below as a single logarithm in simplest form.logb⁡6−logb⁡6 Answer Attempt 1 out of 2logbSubmit Answer

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Question
Watch Video
Write the expression below as a single logarithm in simplest form.
$\log_{b} 6 - \log_{b} 6$

Answer Attempt 1 out of 2
$\log_{b}$
Submit Answer