Question

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

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

Answer 1

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.

Answer 2

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).