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25 votes
25 votes
Find In(-274.7)

PLEASE HELP IM TIMED!!!
a. i pi -8.6157
b. i pi + 7.6157
c. i pi + 6.6157
d. i pi + 5.6157

User Phym
by
2.9k points

1 Answer

19 votes
19 votes

Final answer:

The value of ln(-274.7) is written as a complex number since the natural logarithm is not defined for negative real numbers. The correct answer is ln(-274.7) ≈ iπ + 5.6157, which is answer choice d.

Step-by-step explanation:

The question relates to finding the value of the natural logarithm of a negative number. The value ln(-274.7) cannot be found directly as the natural logarithm function is only defined for positive real numbers. However, we can use the fact that the natural logarithm of a negative number is a complex number. The formula to express the ln of a negative number is ln|number| + iπ, where i is the imaginary unit and π is pi (approximately 3.14159).

To find ln(-274.7), first find the natural logarithm of the absolute value of -274.7, which is ln(274.7). Using a calculator, we obtain:

ln(274.7) ≈ 5.6157

Since the original number was negative, we add to this result:

ln(-274.7) ≈ iπ + 5.6157

Therefore, the correct answer is d. iπ + 5.6157.

User Verlyn Luna
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2.5k points