Find the image of the vertical line x = 2 under the function f(x) = b)...

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Find the image of the vertical line x = 2 under the function f(x) = b) (12 points) Let Log(z) be the principal branch of the logarithm function defined and analytic on the open subset = {x+iy such that y 0 or x>0} (the complex plane minus the set of non-poisitive real numbers). Find the set S of all zin satisfying the equation Log(4) = 4Log(2). Describe the conditions the equation imposes on the polar form of z and include a sketch of the set S. Find the image of the vertical line x = 2 under the function f(x) = b) (12 points) Let Log(z) be the principal branch of the logarithm function defined and analytic on the open subset = {x+iy such that y 0 or x>0} (the complex plane minus the set of non-poisitive real numbers). Find the set S of all zin satisfying the equation Log(4) = 4Log(2). Describe the conditions the equation imposes on the polar form of z and include a sketch of the set S.

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