The four main ln rules are: ln (x) ( y) = ln (x) + ln (y) ln (x/y) = ln (x) - ln (y) ln (1/x)=−ln (x) n ( x y) = y*ln (x) The key difference between natural logs and other logarithms is the base being used. What's Next? Writing a research paper
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!For complex number z: z = reiθ= x + iy The complex logarithm will be (n = -2,-1,0,1,2,): Log z = ln(r) + i(θ+2nπ)= ln(√(x2+y2)) + i·arctan(y/x)) See more
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We know x = ln (e^x) for all x in the real numbers then we substitute the expression for x above into the equation (in the Q) and obtain ln (x) + ln (e^x) = 1 (from substitution from definition above) Equivalently ln (xe^x) = 1 (log rules)
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