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Logaritmos / / porfaaa ayudenlogx ^ 3 = log 6 + 2logx?

Logaritmos / / porfaaa ayuden logx ^ 3 = log 6 + 2logx.

En resumen

Log(x ^ 3) = log(6) + 2 log(x) - log(6) - 2 log(x) + log(x ^ 3) = 0 - log(6) - 2 log(x) + log(x ^ 3) = log(1 / 6) + log(1 / x ^ 2) + log(x ^ 3) = log(x ^ 3 / (6 x ^ 2)) = log(x / 6) = log(x / 6) = 0 x / 6 = 1 x = 6 saludos.

Mejor respuesta

Paolamuro
7

Log(x ^ 3) = log(6) + 2 log(x) - log(6) - 2 log(x) + log(x ^ 3) = 0 - log(6) - 2 log(x) + log(x ^ 3) = log(1 / 6) + log(1 / x ^ 2) + log(x ^ 3) =

log(x ^ 3 / (6 x ^ 2)) = log(x / 6) =

log(x / 6) = 0

x / 6 = 1 x = 6

saludos.