Question

Sprawdź czy log(2+ √3)=-log(2- √3) .

Answer 1

log ( 2 + p(3)) = - log ( 2 - p(3))

Tak , bo

- log (2 - p(3) = log ( 2 - p(3))^(-1)

oraz

( 2 - p(3))^(-1) = 1 / [ 2 - p(3)] = [ 2 + p(3)]/[(2 - p(3))*(2 + p(3))] =

= [2 + p(3)]/( 4 - 3) = 2 + p(3)

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