Mathematica Asked on May 19, 2021
My goal is to get inverse of -Log[1 – x]. But the result shows conditional expression.
Could I know Why the condition -[Pi] <= Im[y] < [Pi] shows? There wass no assumption at variable y.
u[x_] := -Log[1 - x]
x /. Solve[y == u[x], x][[1]]
And the result showed,
ConditionalExpression[1 - E^-y, -[Pi] <= Im[y] < [Pi]]
Here is one way ...
u[x_] := -Log[1 - x]
Assuming[{Element[x, Reals], Element[y, Reals]}, x /. Solve[y == u[x], x][[1]]]
yields
1 - E^-y
Correct answer by mjw on May 19, 2021
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