PHUONG TRINH MU VA LOGARIT - PHNG TRNH H PHNG TRNH M V...

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PH NG TRÌNH ƯƠ , H PH NG TRÌNH MŨ VÀ LÔGARIT ƯƠ D ng 1. Ph ng trình c b n ươ ơ a) Ph ng trình mũ c b n ươ ơ có d ng: x a m = , trong đó 0, 1 a a m là s đã cho. N u ế 0 m , thì ph ng trình ươ x a m = vô nghi m. N u ế 0 m , thì ph ng trình ươ x a m = có nghi m duy nh t log a x m = . b) Ph ng trình lôgarit c b n ươ ơ có d ng: log a x m = , trong đó m là s đã cho. Ph ng trình có đi u ki n xác đ nh là ươ x > 0 ( 0, 1 a a ). V i m i m ¡ , ph ng trình ươ log a x m = có nghi m duy nh t m x a = . VD1. Gi i các ph ng trình sau: ươ 1. 1 1 5 6.5 3.5 52 x x x + - + - = 2. 1 2 3 1 2 3 3 3 9.5 5 5 x x x x x x + + + + + + + = + + 3. 1 3 .2 72 x x + = 4. - + + + + + + = + 2 2 2 3 2 6 5 2 3 7 4 4 4 1 x x x x x x 5. - - + - + - + 2 1 1 1 5.3 7.3 1 6.3 9 x x x x VD2. Gi i các ph ng trình sau: ươ 1. ( 29 3 log 2 1 x x + = 2. ( 29 ( 29 2 2 2 log 3 log 6 10 1 0 x x - - - + = 3. ( 29 ( 29 log 15 log 2 5 2 x x + + - = 4. ( 29 1 2 log 2 5 x x + - = Bài t p Gi i các ph ng trình sau: ươ 1. 1 2 3 2.3 25 x x + - - = 2. 1 2 2 3.2 2.5 5 2 x x x x + - - + = + 3. 2 log 1 log log 2 4 6 2.3 x x x + + - = 4. 3 1 4 7 16 0 7 4 49 x x -   - =     5. 2 3 2.5 5 375 0 x x + + - + = 6.
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