Mengapa 3 * ln (x) = ln (x ^ 3)?

Mengapa 3 * ln (x) = ln (x ^ 3)?
Anonim

Menjawab:

Gunakan definisi logaritma dan properti dasar eksponen.

(detail di bawah)

Penjelasan:

Definisi dasar:

#color (white) ("XXX") ln (a) = b # cara # e ^ b = a #

Membiarkan #s = 3 ln (x) #

#color (white) ("XXX") rArr ln (x) = s / 3 #

#color (white) ("XXX") rArr e ^ (s / 3) = x #

#color (white) ("XXX") rArr root (3) (e ^ s) = x #

#color (white) ("XXX") rArr e ^ s = x ^ 3 #

#color (white) ("XXX") rArrln (x ^ 3) = s #

#color (white) ("XXX") rArrln (x ^ 3) = 3ln (x) #