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eminesadykova
@eminesadykova
July 2022
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Найдите корни уравнения:
3 log х по основанию 1/3 - 2 log 3 по основанию х = -5
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becker777
3logx1/3-2log3x=-5
по формуле logab=logcb/logca
3×(log31/3 /log3x)-2log3x=-5
3×(-1/log3x)-2log3x=-5 log3x=t
-3/t -2t=-5
-3-2t^2=-5t
2t^2-5t+3=0
D=1
t=3/2; 1
1. log3x=1
x=3
2. log3x=3/2
x=3^3/2=корень 3 степени9=3sqrt3
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Answers & Comments
по формуле logab=logcb/logca
3×(log31/3 /log3x)-2log3x=-5
3×(-1/log3x)-2log3x=-5 log3x=t
-3/t -2t=-5
-3-2t^2=-5t
2t^2-5t+3=0
D=1
t=3/2; 1
1. log3x=1
x=3
2. log3x=3/2
x=3^3/2=корень 3 степени9=3sqrt3