EKSPONENCIJALNE i LOGARITAMSKE FUNKCIJE

LOGARITMI
www.mim-sraga.com
6. Logaritmiraj:
( )
1) log 10x = log10 + log x = 1+
log x
x = + x = + x = + x =
2 2 2
2) log100 log100 log log10 2log 2log10 2log
= 2 ⋅ 1+ 2logx
= 2+
2logx
( )
x yz = x + y + z = x+ y+
z
2 3 4 2 3 4
3) log log log log 2log 3log 4log
10
4) log = log10 − log x = 1−log
x
x
x
y
2
5) log
2
3
= log x −log = 2log
3
−3log
y x y
2
6) log 2log
x
=
x
3
7) log 3log
x
=
x
x
y
3
8) log
3 5
= log − log = 3log
5
−5log
x y x y
x
y
1
x y x y x y
2
1
3
2
9) log = log − log = log − 3log = log −3log
3
1
x x x
3
1
3
3
10) log = log = log
Autor kompletnih rješenja: Mladen Sraga
© M.I.M.- Sraga d.o.o.
18