3^х² / 27 = 9ˣ
3^x² = 27 · 3²ˣ
Логарифмируем
log₃(3^x²) = log₃3³ + log₃(3²ˣ)
x² = 3 + 2x
х² - 2х - 3 = 0
D = 4 + 12 = 16
х₁ = 0,5(2 - 4) = -1
х₂ = 0,5(2 + 4) = 3
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Answers & Comments
3^х² / 27 = 9ˣ
3^x² = 27 · 3²ˣ
Логарифмируем
log₃(3^x²) = log₃3³ + log₃(3²ˣ)
x² = 3 + 2x
х² - 2х - 3 = 0
D = 4 + 12 = 16
х₁ = 0,5(2 - 4) = -1
х₂ = 0,5(2 + 4) = 3