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Which expression is equivalent to 5 log x 2 log x 4? A log, )

B. log, 28 C. log, 8 D. log, 6

User Kenshinji
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2 Answers

3 votes

Final answer:

To simplify the expression 5 log(x) 2 log(x) 4, we can use the properties of logarithms.

Step-by-step explanation:

To simplify the expression 5 log(x) 2 log(x) 4, we can use the properties of logarithms. The property log(xy) = log(x) + log(y) tells us that we can add the logarithms of numbers that are being multiplied. Using this property, we can rewrite the expression as (log(x))⁵ + (log(x))² + log(4). However, this expression is not equivalent to any of the given options A, B, C, or D. Therefore, the correct answer is None of the above.

User Jorge Cevallos
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8.2k points
5 votes

Final answer:

The expression 5 log(x) 2 log(x) 4 can be simplified to 13 log(x).

Step-by-step explanation:

The expression 5 log(x) 2 log(x) 4 can be simplified using the properties of logarithms. According to the property


log(xy) = log(x) + log(y), we can rewrite the expression as follows:


5 log(x) + 2 log(x^4)

Next, we can apply the property
log(x^n) = n log(x) to simplify further:

5 log(x) + 8 log(x)

Combining the terms, we get:

(5+8) log(x)

The simplified expression is 13 log(x).

User Dwenzel
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8.5k points

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