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GellenN
@GellenN
January 2020
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Calcule :
a) ㏒6 12 x ㏒12 6 b) ㏒5 21 x ㏒21 5
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josvan87
Bonsouir cher ami !!!!
Para resolvermos basta passarmos para a base 10.
a) ㏒6 12 x ㏒12 6
㏒6 12 = ( log6)/( log 12)
㏒12 6 = ( log 12)/( log6)
Agora multiplicando os dois teremos:
( log 12)/ ( log6) * ( log 6) / ( log 12) = 1
b) ㏒5 21 x ㏒21 5
O mesmo acontece aqui
㏒5 21 = ( log 5)/ ( log 21)
㏒21 5 = ( log 21)/ ( log 5)
( log 5)/ ( log 21) * ( log 21)/ ( log 5) = 1
A Bientot !
2 votes
Thanks 1
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Lista de comentários
Para resolvermos basta passarmos para a base 10.
a) ㏒6 12 x ㏒12 6
㏒6 12 = ( log6)/( log 12)
㏒12 6 = ( log 12)/( log6)
Agora multiplicando os dois teremos:
( log 12)/ ( log6) * ( log 6) / ( log 12) = 1
b) ㏒5 21 x ㏒21 5
O mesmo acontece aqui
㏒5 21 = ( log 5)/ ( log 21)
㏒21 5 = ( log 21)/ ( log 5)
( log 5)/ ( log 21) * ( log 21)/ ( log 5) = 1
A Bientot !