log(-1) - Wolfram|Alpha

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Input

log_10(-1)

Exact result

(i π)/log(10)

Decimal approximation

1.3643763538418413474857836254313557702101274837239253999008547319959228173... i

Alternate complex forms

(π (cos(π/2) + i sin(π/2)))/log(10)

(π e^((i π)/2))/log(10)

Polar coordinates

r = π/log(10) (radius), θ = π/2 (angle)

Alternate form

(i π)/(log(2) + log(5))

Continued fraction

[i; -3i, -4i, -11i, 2i, -4i, -4i, -8i, 4i, -14i, 4i, 9i, -5i, 30i, -3i, -3i, -7i, ...]
(using the Hurwitz expansion)

Alternative representation

log_10(-1) = log(-1)/log(10)

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