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Engineering Physics · Q42

Mathematical Physics

Engineering and GATE · Engineering Physics · question 42

Q42

All solutions of the equation ez = -3 are

A.
z = i n π ln 3, n = ±1, ±2, . . . . . . . .
B.
z = ln 3 + i(2n + 1)π, n = 0, ±1, ±2, . . . . . . . .
Answer
C.
z = ln 3 + i 2nπ, n = 0, ±1, ±2, . . . . . . . .
D.
z = i 3nπ, n = ±1, ± 2, . . . . . . . .

Answer: Option B

Solution

Answer: Option B
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