log r xp- (1+x²)(4+x²) 0,
Chapter10: Exponential And Logarithmic Functions
Section10.3: Evaluate And Graph Logarithmic Functions
Problem 10.50TI: Solve: (a) log3(4x+3)=3 (b) lne4x=4
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I asked this question previously, but I don't think I got a correct answer. The tutor used only the pole at i, but doesn't the pole at 2i need to be considered also? I got a final answer of 0 and am wondering if you will get the same thing. Thanks!
Expert Solution
Solution:
Let
Use the contour shown as
Then, by the residue theorem, .
Examine each of the pieces in the above equation.
Then, we have
as
Next left is,
Then, obtain as follows:
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