Question

Logaritma
nilai x yang memenuhi 3 (log x)² - log x⁵ = 2 adalah
a. 0,005
b. 0,05
c. 100
d. 125
e. 500

Answer 1

Log x =a --> x = 10ᵃ
3 (log x)²- 5 (log x) - 2= 0
3 a² - 5a - 2= 0
(3a + 1)(a - 2) = 0
a = 1/3 atau a= 2

x = 10ᵃ
a = -1/3  --> x= 10^(-1/3) = 1/ ∛10
a = -2 --->  x = 10² = 100