EKSPONENCIJALNE i LOGARITAMSKE FUNKCIJE

LOGARITMI
www.mim-sraga.com
7.
Logaritmiraj:
100
= − x = − x = − x =
x
= 2 ⋅1− 2logx
= 2−2logx
2 2
1) log log100 log log10 2log 2log10 2log
2
x
10y
2
2 3 3
2) log log log
3
( 10 ) 2log ( log10 log ) 2log log10 3log
= x − y = x− + y = x− − y =
= 2logx−1−3logx
( )
xy
= xy − = x ⋅ y − =
100
1 1
1 1
2 2
= log x + log y −2 ⋅ 1 = log x+ log y−2
2 2
2
3) log log log100 log log10 lo
g x + log y −2 ⋅ log10 =
3 2
x
1 2
3 2 2 3 2
3
4) log = log x − log100 = log ( x ) − log10 = log x − 2log10 =
100
2 2
= ⋅ log x−2 ⋅ 1 = log x−2
3 3
100x
2
2 2
5) log log 100 log log100 log log
x
( )
= x − x = + x − x =
2 1
⎛ 1 ⎞
= log10 + 2log x− log x = 2log10 + ⎜2− ⎟logx
=
2
⎝ 2 ⎠
3
= 2+
logx
2
1
2
Autor kompletnih rješenja: Mladen Sraga
© M.I.M.- Sraga d.o.o.
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