Muutis dasdaa, 30 aprill 2013 - 22:23.
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Sellel teemal on 3 vastust
#1
Postitatud 16 mai 2012 - 12:23
#2
Postitatud 17 mai 2012 - 20:03
Alcohol is for people who can afford to lose a few brain cells.
For every male action, there is a female overreaction.
Time you enjoy wasting is not wasted time.
For every male action, there is a female overreaction.
Time you enjoy wasting is not wasted time.
#3
Postitatud 17 mai 2012 - 22:20
Või siis lahenduskäiguga:
16^x=3^x / 3^8
6561*16^x=3^x
Jagad 16^x-ga
6561=(3/16)^x
x=log3/16 6561
16^x=3^x / 3^8
6561*16^x=3^x
Jagad 16^x-ga
6561=(3/16)^x
x=log3/16 6561
#4
Postitatud 18 mai 2012 - 09:37
Ilma kalkulaatorita saab ka (3^8 on jama kirjalikult teha):
2^4x = 3^(x-8)
16^x = 3^x / 3^8
Jagan mõlemad pooled 3^x läbi
(16/3)^x = 1 / 3^8 = 3^-8
Kasutades logaritmi definitsiooni:
x = log_(16/3) 3^-8 = log(3^-8) / log(16/3) = -8 log 3 / (log 16 - log 3) = -8 log 3 / (log 2^4 - log 3) = -8 log 3 / (4 log 2 - log 3)
x = -8 log 3 / (4 log 2 - log 3)
Wolfram Alpha annab sama vastuse.
2^4x = 3^(x-8)
16^x = 3^x / 3^8
Jagan mõlemad pooled 3^x läbi
(16/3)^x = 1 / 3^8 = 3^-8
Kasutades logaritmi definitsiooni:
x = log_(16/3) 3^-8 = log(3^-8) / log(16/3) = -8 log 3 / (log 16 - log 3) = -8 log 3 / (log 2^4 - log 3) = -8 log 3 / (4 log 2 - log 3)
x = -8 log 3 / (4 log 2 - log 3)
Wolfram Alpha annab sama vastuse.
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