Recall Euler's number e= 2

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Recall Euler's number

e= 2.71828182845904523536028747135266249775724709369995...

is a very special number in mathematics. For example, it can be shown that the function

f:R→(0,∞)defined by

f(x)=e^x for all x ∈ R

is a bijection. Therefore, by considering our polar coordinates for

complex numbers, if

B={a+bi | a ∈ R, b ∈ [0,2π)}

and we define E:B→C{0} by

E(a+bi) = e^a(cos(b) +isin(b))

then E is a bijection. The inverse of E is the function ln : C{0}→B called the complex logarithm. Compute ln(−1)