Help me to solve math homework on logarithmic How to solve this math home work? Please help.. What is the value of log((i pi)/2) ?

streutexw

streutexw

Open question

2022-08-21

Help me to solve math homework on logarithmic
How to solve this math home work? Please help..
What is the value of log ( i π 2 ) ?
I got to know the answer is " i π 2 ", but don't know how to solve it. Please help me.
Thanks a lot in advance.

Answer & Explanation

kwizerwa3w

kwizerwa3w

Beginner2022-08-22Added 4 answers

Hint
For z C we have
ln z = ln | z | + i arg z
Belen Moses

Belen Moses

Beginner2022-08-23Added 1 answers

Using this
l o g z = l o g | z | + i a r g ( z )
you should be able to get | i π / 2 | = π / 2 and a r g ( i π / 2 ) = π / 2 thus, l o g ( i π / 2 ) = l o g ( π / 2 ) + i ( π / 2 + 2 n π )

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