решить неравенство: log_3(x^2+5)>log_3(x+7). Created by JuliKami. algebra-ru

решить неравенство: log_3(x^2+5)>log

October 2021 1 29 Report

решить неравенство: log_3(x^2+5)>log_3(x+7)

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yellok $\log_{3} (x^{2}+5)\ \textgreater \ \log_{3} (x+7) \\$
3>1 ⇒ x²+5>x+7
x²-x-2>0
D=1+2*4=9
x₁=(1+3)/2=2
x₂=(1-3)/2=-1
x²-x-2>0 ⇒ (x+1)(x-2)>0 ⇒ x∈(-∞, -1)∨(2,+∞)

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