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EKSPONENCIJALNE i LOGARITAMSKE FUNKCIJE

PDF- ogledni primjerci - MIM-Sraga

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LOGARITMI<br />

www.mim-sraga.com<br />

4.<br />

2 4<br />

1) log<br />

x9 = 2) log<br />

x16<br />

=<br />

3 5<br />

2 3 4<br />

3 2<br />

5<br />

9 = x / 16 = x<br />

2 5<br />

3 4<br />

9 = x<br />

16<br />

= x<br />

3 1 ⋅ 5<br />

2 4<br />

x = 9 x = 16<br />

( )<br />

2 4<br />

( 3 ) x ( 2 )<br />

2 ⋅ 3<br />

1 2<br />

3 1<br />

2 4<br />

x = =<br />

x = 3 x = 2<br />

x = x =<br />

x = 27<br />

3<br />

3 3<br />

4<br />

3) log<br />

x36 =− 2 4) log<br />

x81<br />

=−<br />

3<br />

1<br />

4 3<br />

−2<br />

−<br />

− −<br />

2 3 4<br />

36 / 81 /<br />

= x<br />

= x<br />

−1 3<br />

2 −<br />

= x<br />

4<br />

= x<br />

−1 3<br />

2 −<br />

x = 36 x = 81 4<br />

1<br />

3<br />

4 − 4<br />

x =<br />

1<br />

x =<br />

2<br />

( 3 )<br />

36<br />

1<br />

4 ⋅ 3<br />

1 ( −4)<br />

36 81<br />

x = x = 3<br />

36<br />

1<br />

−3<br />

x =<br />

x = 3<br />

6<br />

1<br />

x =<br />

3<br />

3<br />

1<br />

x =<br />

27<br />

5<br />

2<br />

5<br />

Autor kompletnih rješenja: Mladen Sraga<br />

© M.I.M.- Sraga d.o.o.<br />

12

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