EKSPONENCIJALNE i LOGARITAMSKE FUNKCIJE
PDF- ogledni primjerci - MIM-Sraga
PDF- ogledni primjerci - MIM-Sraga
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LOGARITMI kompletna rješenja<br />
www.mim-sraga.com<br />
10.<br />
3<br />
1.) = 2 −log<br />
x<br />
log x + 2<br />
log x = t<br />
3<br />
= 2 −t<br />
/ ⋅ + 2<br />
t + 2<br />
3= 2− + 2<br />
2<br />
( t)( t )<br />
3 = 2 −t<br />
2 2<br />
3 = 4−t<br />
2<br />
3−<br />
4 = −t<br />
− 1 = −t<br />
t<br />
2<br />
= 1 /<br />
t =± 1<br />
t<br />
2<br />
1 2<br />
( t )<br />
=− 1 t = 1<br />
uvjet:<br />
log x + 2 ≠ 0<br />
log x ≠−2<br />
x ≠ 10<br />
−2<br />
1<br />
x ≠<br />
100<br />
log x = t<br />
log x =− 1 log x = 1<br />
x = 10 x = 10<br />
−1 1<br />
1<br />
x = x = 10<br />
10<br />
pa su rješenja:<br />
uvjet:<br />
x<br />
1<br />
x ≠<br />
100<br />
= 1 i x = 10 10<br />
1 2<br />
23<br />
Autor zadataka: Mladen Sraga
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