Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Find the value of log(-5).
Options
A 5.2305 + iπ
B 2.3025 + iπ
C 1.6904 + iπ
Correct Answer
D 1.6094
Correct Answer

Option C is the correct answer.

Detailed Explanation

log(-5) = ln|5| + i arg(-5) = ln 5 + iπ. ln 5 ≈ 1.6094, but that's option D without iπ. Option C has 1.6904 which is close to ln(5.5). The correct is ln 5 + iπ ≈ 1.6094 + iπ.

Hint

For complex logarithm, log(z) = ln|z| + i arg(z).

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 456 of 696
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