1. Riješi eksponencijalne jednadžbe: a) 3 2 3 2 125 25 2 0 − − = ⋅ x . d) 10 9 3 27 5 1 1 = ⋅ + − − x . x b) x x 36 6 6 7 = − ⋅ e) 66 7 5 7 2 7 3 1 1 = ⋅ − ⋅ + ⋅ + − x x x c) 9 16 75 0 4 3 2 1 = ⋅ − − x x . f) 3 4 2 1 5 3 5 3 7 + + + + − = − ⋅ x x x x g) 18 25 . 0 5 . 0 3 3 2 = + + + x x 2. Izračunaj a) ( ) = ⋅ 8 2 27 3 125 0 log . log b) = − + 3 2 1 5 48 25 0 log log log . 3. Riješi eksponencijalne nejednadžbe: a) ( ) x x x . . − + ⋅ ≤ 2 125 0 5 0 3 2 b) 1 5 2 4 16 1 2 − − ⋅ ≥ x x 4. Pojednostavi = − + 3 2 1 3 2 5 2 3 3 2 8 3 5 2 log log log log 5. Odredi x ako je ( ) 2 log 25 . 0 log log 2 log 2 2 − − + − = b a b a x 6. Riješi logaritamske jednadžbe : a) ( ) 1 3 log log = − + x x b) 12 log log 4 log 3 3 3 1 = − + x x x c) x log x log x log x log + − = − 1 2 1 2 d) ( ) ( ) log log 2 1 2 1 9 7 2 3 1 x x − − + = + + e) ( ) x x − = − 1 4 5 log 5 7. Riješi logaritamske jednadžbe : a) ( ) ( ) ( ) 1 log 2 2 log 2 log − = + + − x x x b) ( ) 2 1 log 2 log 5 1 log 2 3 25 − = + x c) 1 log 1 2 log 5 1 = + + − x x d) ( ) 2 4 2 4 log 2 + = + − x x x e) 4 log log log 16 2 5 . 0 = ⋅ ⋅ x x x 8. Riješi logaritamske nejednadžbe : a) 1 6 2 2 < − + x log x log x log b) 1 2 1 2 3 < − − x log x log c) 1 3 2 1 2 2 1 > + − x x log d) 2 2 3 3 2 < + + x x log
