Selesaikan :
3 ln² x - ln (x²) - 8 = 0
3 ln² x - ln (x²) - 8 = 0
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Misal ln x = log x3 ln² x - ln x² - 8 = 0
3 (log x)² - 2 (log x) - 8 = 0
log x = a --> x = 10ᵃ dengan x > 0
3a² - 2a - 8 =0
(3a + 4)(a - 2)= 0
a = - 4/3 atau a = 2
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a = -4/3 ---> x = 10⁻⁴/³ = 1/∛(10⁴) = 1/(10∛10)
a = 2 --> x = 10² = 100