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evgeshakliatvi
@evgeshakliatvi
August 2022
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Решите логарифмическое уравнение:log3(снизу)х ^2-6log3(снизу)x-27=0
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sangers1959
Verified answer
Log₃²x-6*log₃x-27=0
log₃x=t ⇒
t²-6t-27=0 D=144
t=9 ⇒ log₃x=9
x₁=3⁹
t=-3 ⇒ log₃x=-3
x₂=3⁻³.
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Answers & Comments
Verified answer
Log₃²x-6*log₃x-27=0log₃x=t ⇒
t²-6t-27=0 D=144
t=9 ⇒ log₃x=9 x₁=3⁹
t=-3 ⇒ log₃x=-3 x₂=3⁻³.