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f2f4f6
@f2f4f6
August 2022
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Помогите!!!!!!!!!!!! дам 20 б
㏒4²x+㏒4√x=1.5
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Verified answer
㏒4²(x)+0,5log4(x)-1,5=0
Пусть log4(x)=t (t≥0)
t²+0,5t-1,5=0
D=6,25
t1=-3; (не подходит, см. ОДЗ замены) t2=1
log4(x)=1 ⇒ x=4
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Answers & Comments
Verified answer
㏒4²(x)+0,5log4(x)-1,5=0Пусть log4(x)=t (t≥0)
t²+0,5t-1,5=0
D=6,25
t1=-3; (не подходит, см. ОДЗ замены) t2=1
log4(x)=1 ⇒ x=4