-e3.4e^(2-2n)-9=-4 THIS EQUATION HAS ONLY COMPLEX SOLUTION:
Solve for n:
-9-9.24216 e^(2-2 n) = -4
-9-9.24216 e^(2-2 n) = -9-9.24216 e^(2-2 n):
-9-9.24216 e^(2-2 n) = -4
Add 9 to both sides:
-9.24216 e^(2-2 n) = 5
Divide both sides by -9.24216:
e^(2-2 n) = -0.540999
Take reciporicals of both sides:
e^(2 n-2) = -1.84843
Take the natural logarithm of both sides:
2 n-2 = 0.614338+i pi (2 k+1) for k element Z
Add 2 to both sides:
2 n = 2.61434+i pi (2 k+1) for k element Z
Divide both sides by 2:
Answer: | n = 1.30717+1/2 i pi (2 k+1) for k element Z