Question

log (x2 - 2x) na base 1/3 > -1

Answer 1

Ola Ema

log1/3(x² - 2x) > -1

-log(x² - 2x)/log(3) > -1

-log(x² - 2x) > -log(3)

log(x² - 2x) > log(3)

x² - 2x - 3 > 0

delta
d² = 4 + 12 = 16
d = 4

x1 = (2 + 4)/2 = 3
x2 = (2 - 4)/2 = -1

-1 < x < 0
2 < x < 3

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