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deanonm
@deanonm
July 2022
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50 б.
9log7(x^2+x-2) <= 10+log7((x-1)^9/(x+2))
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LyubaAlexandorovna
Verified answer
9*loq7(x^2+x-2)<=10*loq7(7)+loq7((x+2)^(-1)*(x-1)^9)
ОДЗ хЄ(-§; -2)+(1; +§)
loq7(7^10)+loq7((x+2)^(-1)*(x-1)^9*)-loq7(((x+2)*(x-1))^9)>=0
loq7((7^10*(x-1)^9*(x+2)^(-1))/((x+2)^9*(x-1)^9)>=0
loq7(7^10*(x+2)^(-10))>=loq7(1)
7^10*(x+2)^(-10)>=1
7^10>=(x+2)^10
7>=x+2
x=<5 с учётом ОДЗ хЄ(-§; -2)+(1; 5]
32 votes
Thanks 29
deanonm
да, спасибо большое
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Answers & Comments
Verified answer
9*loq7(x^2+x-2)<=10*loq7(7)+loq7((x+2)^(-1)*(x-1)^9)ОДЗ хЄ(-§; -2)+(1; +§)
loq7(7^10)+loq7((x+2)^(-1)*(x-1)^9*)-loq7(((x+2)*(x-1))^9)>=0
loq7((7^10*(x-1)^9*(x+2)^(-1))/((x+2)^9*(x-1)^9)>=0
loq7(7^10*(x+2)^(-10))>=loq7(1)
7^10*(x+2)^(-10)>=1
7^10>=(x+2)^10
7>=x+2
x=<5 с учётом ОДЗ хЄ(-§; -2)+(1; 5]