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annf1
@annf1
July 2022
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olyalavyagina
1) x^2-x-12>0; (x-4)(x+3)>0; xє(-00;-3)v(4;+00)2) a) log5(3)+2log5(10)-log5(24)=log5(3)+log5(100)-log5(24)=log5(3/24)+log5(25*4)=log5(1/8)+2+log5(4)=log5(4/8)+2=log5(0.5)+23) a) log3(4x-11)=3; 4х-11>0; 4х>11; х>11/4;log3(4x-11)=3log3(3);log3(4x-11)=log3(27);4x-11=27;4x=38;x=19/2б) log7(x^2-15)=2; x^2-15>0; (x-15)(x+15)>0; xє(-00;-15)v(15;+00);log7(x^2-15)=log7(49); x^2-15=49; x^2=64; x=-8; x=8; корней нет4) log3(5y-x)=1; log3(3x+3y)=3;5y-x=3; 3x+3y=27;x=5y-3; x+y=9;5y-3+y=9; 6y=12; y=2x=5*2-3=10-3=7(7;2)5) а) log5(4-3x)>=2; 4-3x>0; 3x<4; x<4/3;4-3x>=25; -3x>=21; x<=-7;xє(-00;-7]б) log7(4x+1)<1+log7(3); 4x+1>0; 4x>-1; x>-1/4;log7(4x+1)
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