logaritma gangertiii

Misal ²log x = a

a² - 2a + 1 = 0
(a - 1)² = 0
a - 1 = 0
a = 1
²log x = 1
²log x = ²log 2
x = 2 ——» Opsi C.

[tex]\displaystyle \text{misal:}\\\log_2x=a\\\\(\log_2x)^2-\log_2x^2+\log_22=0\\(\log_2x)^2-2\log_2x+1=0\\a^2-2a+1=0\\(a-1)^2=0\\a-1=0\\a=1\\\log_2x=1\\x=2^1\\\boxed{\boxed{x=2}}\\\\\\\text{gunakan sifat logaritma :}\\\log_ab^c=c\cdot\log_ab[/tex]