Expand the logarithmic expression log(8) a/2

Answers

Answer 1

Answer: $log _(8) (a)/(2) = \n log _(8)a - log_(8) 2 = \n log _(8)a - (1)/(3)log _(2)2= \n log _(8)a - (1)/(3)$

Answer 2

Answer:

Final answer:

The given logarithmic expression log(8a/2) can be expanded as 2 log 2 + log a by using the properties of logarithms.

Explanation:

The question is asking to expand the logarithmic expression log(8a/2). The properties of logarithms can be applied in order to simplify it. There are two key properties that will be used. First, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers, which can be represented as log xy = log x + log y. Second, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers, represented as log (a/b) = log a - log b.

With these properties in mind, we can start simplifying the given logarithmic expression. The expression log(8a/2) can be represented as log 8 + log a - log 2. Simplifying further, we get log 2^3 + log a - log 2, which simplifies further to 3 log 2 + log a - log 2. Simplifying one more step gives 2 log 2 + log a.

Learn more about Logarithm Expansion here:

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Answers

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Answers

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Answers

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Answers

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Answers

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