Imi da 0 si trebuie sa dea 2,nu inteleg :(
Anexe:
Răspunsuri la întrebare
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log₅ 15 = log₅3+log₅5=log₅3+1
log₇₅5=log₅5/log₅75=1/(log₅5²+log₅3)=1/(2+log₅3)
log₃₇₅5=log₅5/log₅375=1/(log₅5³+log₅3)=1/(3+log₅3)
log₅ 15 /log₇₅5 -log₅3/log₃₇₅5=
=(log₅3+1)/[1/(2+log₅3)]-log₅3/[1/(3+log₅3)]=
=(log₅3+1)(2+log₅3)-log₅3(3+log₅3)]=
=2log₅3+2+(log₅3)²+log₅3-3log₅3-(log₅3)²=
=3log₅3+2-3log₅3=2
log₇₅5=log₅5/log₅75=1/(log₅5²+log₅3)=1/(2+log₅3)
log₃₇₅5=log₅5/log₅375=1/(log₅5³+log₅3)=1/(3+log₅3)
log₅ 15 /log₇₅5 -log₅3/log₃₇₅5=
=(log₅3+1)/[1/(2+log₅3)]-log₅3/[1/(3+log₅3)]=
=(log₅3+1)(2+log₅3)-log₅3(3+log₅3)]=
=2log₅3+2+(log₅3)²+log₅3-3log₅3-(log₅3)²=
=3log₅3+2-3log₅3=2
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