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Murad313
@Murad313
July 2022
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[tex]log_5x-log_x25=1[/tex]
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ShirokovP
Verified answer
ОДЗ
x > 0 , x ≠ 1
log(5, x) - (log 5, 25) / (log 5, x) = 1
log(5, x) - 2 /log(5, x) = 1
log(5, x)^2 - log(5,x) - 2 = 0
t^2 - t - 2 = 0
D = 1 + 4*2 = 9
t1 = (1 + 3)/2 = 2
t2 =( 1 - 3)/2 = - 1
log (5, x) = 2
x = 5^2
x = 25
log (5,x) - 1
x = 5^(-1)
x = 1/5
x = 0,2
Ответ
25; 0,2
3 votes
Thanks 1
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Answers & Comments
Verified answer
ОДЗx > 0 , x ≠ 1
log(5, x) - (log 5, 25) / (log 5, x) = 1
log(5, x) - 2 /log(5, x) = 1
log(5, x)^2 - log(5,x) - 2 = 0
t^2 - t - 2 = 0
D = 1 + 4*2 = 9
t1 = (1 + 3)/2 = 2
t2 =( 1 - 3)/2 = - 1
log (5, x) = 2
x = 5^2
x = 25
log (5,x) - 1
x = 5^(-1)
x = 1/5
x = 0,2
Ответ
25; 0,2