Ph¬ng tr×nh, bÊt ph¬ng tr×nh mò vµ l«garÝt. Bµi 1: Gi¶i ph¬ng tr×nh: a. 2 x x 8 1 3x 2 4 − + − = b. 2 5 x 6x 2 2 16 2 − − = c. x x 1 x 2 x x 1 x 2 2 2 2 3 3 3 − − − − + + = − + d. x x 1 x 2 2 .3 .5 12 − − = e. 2 2 x 1 (x x 1) 1 − − + = f. 2 x 2 ( x x ) 1 − − = g. 2 2 4 x (x 2x 2) 1 − − + = h, 2 2 2 3 5 2 4 ( 3) ( 6 9) x x x x x x x − + + − − = − + Bµi 2:Gi¶i ph¬ng tr×nh: a. 4x 8 2x 5 3 4.3 27 0 + + − + = b. 2x 6 x 7 2 2 17 0 + + + − = c. x x (2 3) (2 3) 4 0+ + − − = d. x x 2.16 15.4 8 0− − = e. x x x 3 (3 5) 16(3 5) 2 + + + − = f. x x (7 4 3) 3(2 3) 2 0+ − − + = g. x x x 3.16 2.8 5.36+ = h. 1 1 1 x x x 2.4 6 9+ = i. 2 3x 3 x x 8 2 12 0 + − + = j. x x 1 x 2 x x 1 x 2 5 5 5 3 3 3 + + + + + + = + + k. x 3 (x 1) 1 − + = t, ( ) ( ) 10245245 =−++ xx m, ( ) ( ) 3 2531653 + =−++ x xx n, ( ) ( ) 02323347 =+−−+ xx Bµi 3:Gi¶i c¸c hÖ ph¬ng tr×nh: a. x y 3x 2y 3 4 128 5 1 + − −  =   =   b. 2 x y (x y) 1 5 125 4 1 + − −  =   =   b. 2x y x y 3 2 77 3 2 7  − =   − =   d. x y 2 2 12 x y 5  + =  + =  Bµi 4: Gi¶i c¸c bÊt ph¬ng tr×nh sau: a. 6 x x 2 9 3 + < b. 1 1 2x 1 3x 1 2 2 − + ≥ c. 2 x x 1 5 25 − < < d. 2 x (x x 1) 1− + < Bµi 5: Gi¶i c¸c bÊt ph¬ng tr×nh sau: a. x x 3 9.3 10 0 − + − < b. x x x 5.4 2.25 7.10 0+ − ≤ c. x 1 x 1 1 3 1 1 3 + ≥ − − d. 2 x x 1 x 5 5 5 5 + + < + e. x x x 25.2 10 5 25− + > f. x x 2 x 9 3 3 9 + − > − Bµi 6: Gi¶i c¸c ph¬ng tr×nh: a. ( ) ( ) 5 5 5 log x log x 6 log x 2= + − + b. 5 25 0,2 log x log x log 3+ = c. ( ) 2 x log 2x 5x 4 2− + = d. 2 x 3 lg(x 2x 3) lg 0 x 1 + + − + = − Bµi 7: Gi¶i c¸c ph¬ng tr×nh sau: a. 1 2 1 4 lgx 2 lg x + = − + b. 2 2 log x 10 log x 6 0+ + = c. 0,04 0,2 log x 1 log x 3 1+ + + = d. x 16 2 3log 16 4log x 2 log x− = e. 2 2x x log 16 log 64 3+ = f. 3 lg(lgx) lg(lgx 2) 0+ − = Bµi 8: Gi¶i c¸c hÖ ph¬ng tr×nh: a. 2 2 lgx lgy 1 x y 29 + =   + =  b. 3 3 3 log x log y 1 log 2 x y 5 + = +   + =  Bµi 9: Gi¶i bÊt ph¬ng tr×nh: a. ( ) 2 8 log x 4x 3 1− + ≤ b. 3 3 log x log x 3 0− − < c. ( ) 2 1 4 3 log log x 5 0   − >   d. ( ) ( ) 2 1 5 5 log x 6x 8 2log x 4 0− + + − < e. 1 x 3 5 log x log 3 2 + ≥ f. ( ) x x 9 log log 3 9 1   − <   h. 1 3 4x 6 log 0 x + ≥ i. ( ) ( ) 2 2 log x 3 1 log x 1+ ≥ + − j. 8 1 8 2 2log (x 2) log (x 3) 3 − + − > k. 3 1 2 log log x 0   ≥  ÷  ÷   l. 5 x log 3x 4.log 5 1+ > m. 2 3 2 x 4x 3 log 0 x x 5 − + ≥ + − n. 1 3 2 log x log x 1+ > o. ( ) 2 2x log x 5x 6 1− + < p. ( ) 2 3x x log 3 x 1 − − > r. x 6 2 3 x 1 log log 0 x 2 + −   >  ÷ +   s. 2 2 2 log x log x 0+ ≤ x, 2 65 3 1 3 1 2 + −+ > x xx Bµi 10: Gi¶i hÖ bÊt ph¬ng tr×nh: a. 2 2 x 4 0 x 16x 64 lg x 7 lg(x 5) 2 lg2  + >  − +   + > − −  b. ( ) ( ) ( ) ( ) x 1 x x x 1 lg2 lg 2 1 lg 7.2 12 log x 2 2 +  − + + < +   + >  