Matematika ²log x + ²log (x - 3) = 2 x = ?

artfisherulv – June 02, 2023

²log x + ²log (x - 3) = 2
x = ?

Penjelasan dengan langkah-langkah:

²log x + ²log (x - 3) = 2

²logx(x - 3) = 2

²log(x² - 3x = 2

x² - 3x = 2²

x² - 3x = 4

x² - 3x - 4 = 0

(x + 1)(x - 4) = 0

x = -1 atau x = 4

ambil yg positif

maka x ≈ 4

» ²logx + ²log(x - 3) = 2

» ²log(x)(x - 3) = ²log2²

» ²log(x)(x - 3) = ²log4

» (x)(x - 3) = 4

» (x × x) - (x × 3) = 4

» x² - 3x = 4

» x² - 3x - 4 = 0

» (x + 1)(x - 4) = 0

» x + 1 = 0 or x - 4 = 0

» x = 0 - 1 or x = 0 + 4

» x = -1 or x = 4

syarat :

x > 0

Jadi, Nilai x yang memenuhi yaitu 4