EKSPONENCIJALNE i LOGARITAMSKE FUNKCIJE
PDF- ogledni primjerci - MIM-Sraga
PDF- ogledni primjerci - MIM-Sraga
- No tags were found...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
LOGARITMI kompletna rješenja<br />
www.mim-sraga.com<br />
7.<br />
2 3<br />
x y<br />
6) log = log − log 10 = log + log − log10 + log =<br />
10 x<br />
1<br />
1<br />
2<br />
= 2log x + x+ 3log y−log10 − log x = 2log x+ 3log y−1−<br />
log x<br />
2<br />
2 3 2 3<br />
( x y ) ( x) x y ( x)<br />
x y<br />
2 3<br />
1<br />
2 3 2 3<br />
2<br />
7) log log x y log 10 log x log y log10<br />
10<br />
( )<br />
= − = + − =<br />
1 1<br />
= 2log x+ 3log y− log10 = 2log x+ 3log y−<br />
2 2<br />
10x<br />
10x<br />
8) log log<br />
y y<br />
10 ⋅ x<br />
= = ( x)<br />
= ⋅ −<br />
4<br />
=<br />
log log 10 log<br />
4<br />
y<br />
1 1 1<br />
1<br />
4 2 2<br />
= log 10 + log x − log y = log10 + log x − log y =<br />
4<br />
1 1 1 1 1 1<br />
= log10 + log x− log y = + log x−<br />
2 2 4 2 2 4logy<br />
y<br />
2 3<br />
( ( x y ) )<br />
⎛ ⎞<br />
= ⎜ ⎟ = = − =<br />
1000 ⎝1000 ⎠ 5 1000 5<br />
1 2 3 3 1<br />
= ( log x + log y − log10 ) = ( 2log x+ 3log y − 3log10)<br />
=<br />
5 5<br />
1 1 1 2 3 3<br />
= ⋅ 2log x+ ⋅3log y− ⋅ 3 ⋅ 1 = log x+ log y−<br />
5 5 5 5 5 5<br />
2 3 2 3 1<br />
2 3<br />
x y x y 1 x y 1<br />
5<br />
5<br />
9) log log log log log1000<br />
17<br />
Autor zadataka: Mladen Sraga
Change language