EKSPONENCIJALNE i LOGARITAMSKE FUNKCIJE
PDF- ogledni primjerci - MIM-Sraga
PDF- ogledni primjerci - MIM-Sraga
- No tags were found...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
LOGARITMI kompletna rješenja<br />
www.mim-sraga.com<br />
6.<br />
1<br />
x x x<br />
5<br />
1<br />
5<br />
5<br />
11) log = log = log<br />
4<br />
10 10<br />
1 1<br />
4<br />
4 4<br />
4 4<br />
1 1<br />
4<br />
12) log = log = log 10 − log x = log10 − log x = log10 − log x =<br />
x x<br />
4 4<br />
1 1 1 1<br />
= ⋅1− logx<br />
= − logx<br />
4 4 4 4<br />
1<br />
3 2 2 1<br />
( ) ( ) ( )<br />
3<br />
2 1<br />
2<br />
13) log 100x = log 100x = log 100 ⋅ x = log100 + log x =<br />
3 3<br />
1 2<br />
1 1<br />
= ⋅ ( log10 + 2log x) = ⋅ ( 2log10 + 2log x)<br />
= 2 ⋅ 1+<br />
2log<br />
x<br />
3 3 3<br />
2 2<br />
= + log x<br />
3 3<br />
( )<br />
=<br />
1<br />
5 3 3 1<br />
( ) ( ) ( )<br />
5<br />
3 1<br />
3<br />
14) log 10x = log 10x = log 10x = log10 + log x =<br />
5 5<br />
1 1 3<br />
= ( 1+ 3logx)<br />
= + logx<br />
5 5 5<br />
= → =<br />
15) log1 0 po pravilu log 1 0<br />
a<br />
16) log 1 = 0<br />
3<br />
17) log 1 = 0<br />
5<br />
19<br />
Autor zadataka: Mladen Sraga
Change language