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Alex777 [14]
2 years ago
5

Explain why log3 8 cannot be simplified to an integer value. A. There is no integer n such that 8 raised to the nth power equals

3. B. There is no integer n such that n raised to the eighth power equals 3. C. There is no integer n such that n raised to the third power equals 8. D. There is no integer n such that 3 raised to the nth power equals 8
Mathematics
1 answer:
hodyreva [135]2 years ago
5 0

Using the logarithm definition, it is found that the correct option regarding why \log_{3}{8} cannot be simplified to an integer value.

C. There is no integer n such that n raised to the third power equals 8.

<h3>What is the logarithm function?</h3>

It is defined by:

y = \log_{b}{x}

It means that:

b^y = x

In this problem, the given logarithm is:

\log_{3}{8}

The equivalent exponential equation would be:

3^n = 8

However, 3^1 = 3, 3^2 = 9, hence there is no integer n such that n raised to the third power equals 8 and option C is correct.

More can be learned about logarithms at brainly.com/question/2528611

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