Zadania w załączniku.
a)5^2 * log(5)3 + 7^2 * log(7)4(5*log(5)3)^2 + (7*log(7)4)^23^2 + 4^2 = 25sqrt(25) = 5b)log(s(5))25 - log(s(5))125 + log(s(5))5*sqrt(5)25:125=0,200,20*5*sqrt(5)=sqrt(5)log(s(5))sqrt(5)=1c)korzystam z log(a)b=c <-> a^c=b(1/4)^(-1/2)=log(2)(log(s(2))x)log(2)(log(s(2))x)=2log(s(2))x=2sqrt(2)^2=xx=2sqrt-pierwiasteklogs- log o podstawie liczby z pierwiastka (s - od sqrt)
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a)
5^2 * log(5)3 + 7^2 * log(7)4
(5*log(5)3)^2 + (7*log(7)4)^2
3^2 + 4^2 = 25
sqrt(25) = 5
b)
log(s(5))25 - log(s(5))125 + log(s(5))5*sqrt(5)
25:125=0,20
0,20*5*sqrt(5)=sqrt(5)
log(s(5))sqrt(5)=1
c)
korzystam z log(a)b=c <-> a^c=b
(1/4)^(-1/2)=log(2)(log(s(2))x)
log(2)(log(s(2))x)=2
log(s(2))x=2
sqrt(2)^2=x
x=2
sqrt-pierwiastek
logs- log o podstawie liczby z pierwiastka (s - od sqrt)