Resolver la ecuaciónlog(x + √6) + log(x - √6) = 1?
Resolver la ecuación log(x + √6) + log(x - √6) = 1.
Resolver la ecuación log(x + √6) + log(x - √6) = 1.
En resumen
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2logx + log(x) / 3 - logx = 3 4log(x) / 3 = 3 logx = 9 / 4 x = 10 ^ (9 / 4) en otro caso 2logx + log(x / 3) - logx = 3 log((x ^ 2) / 3) = 3 (x ^ 2) / 3 = 10 ^ 3 x ^ 2 = 3000 x = 3000 ^ (1 / 2).
Respuesta : kijuytrcghjikojihugytfrdseedrftgyhuijmokkoijuhygtf5Explicación paso a paso :
Respuesta : x = 6Explicación paso a paso : ㏒ = ㏒6 + ㏒x = ㏒(6x)⇒2㏒x = ㏒6x⇒ = 2⇒ = 2⇒ = 6x⇒ - 6x = 0⇒x(x - 6) = 0⇒x = 0 ∧ x = 6 , escogemos x = 6 porque por definición de logaritmo x no puede ser nulo.