Phương trình mũ và lôgarít phần - thầy toán

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Phương trình mũ và lôgarít phần - thầy toán

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Phương trình lôgarít Giải các phương trình sau 1 2 3 2 3 5 5 3 .5 3 .5 x x x x + + = 2 255 4 2 = +− xx 3 − + − − = 2 x x 8 1 3x 2 4 0 4 2 3 2 4 16 0 x x − + − = 5 ( ) ( ) 1 1 1 2525 + − − −=+ x x x 6 x x 34 2 2 2 1 2 − − =       7 2 3 3 3 1 9 27 81 3 x x x x − +   =  ÷   8 −     =  ÷  ÷     x x 1 8 9 27 4 9 3 3 1 13 =       − x 10 2 1 2 1 2 2 2 (2 3) (2 3) 2 3 x x x x − + − + + + − = − 11 7 1 3 9 27 . 2 4 8 x x+ +     =  ÷  ÷     12 1 5 93 2 + − = x x 13 9 5.3 7 0 x x + + = 14 2 2 3 3 30 x x + − + = 15 4 2 6 0 x x + − = 16 2 1 3 9 4 x x + + + = 17 2( 1) 3 82.3 9 0 x x + − + = 18 25 23.5 5 0 x x − − = 19 8 18 2.27 x x x + = 20 1 3 2 2 9 36.3 3 0 x x − − + + = 21 4 2 5 3 2 3 9 x x x − − − = 22 3 3 2 2 3 .7 3 .7 x x x x + + = 23 1 1 3 3 3 9477 x x x− + + + = 24 10 5 14 ( 3) ( 3) 84 0 x x − + − = 25 1 1 1 49 35 25 x x x − = 26 (2 3) (2 3) 14 x x − + + = 27 2 2 1 . 2 1 217 =             −+ xx 28 2 2 9 10 4 2 4 x x − + = 29 3 3 5 9.5 27(5 5 ) 64 x x x x − − + + + = 30 3 (5 21) 7(5 21) 2 x x x + − + + = 31 2 4 2 2 3 45.6 9.2 0 x x x + + + − = 32 3 3 1 8 1 2 6(2 ) 1 2 2 x x x x − − − − = 33 1 5 7 2 (1,5) 3 x x + −   =  ÷   34 ( ) 2 ln 1 1 25 . 1 0 5 x x e −     − − =  ÷  ÷  ÷     35 2 3 ( 2 1) 2 1 x− − = + 36 4 11 32 13 x x x x + + = 37 2 2 1 9.2 8 3 x x + = 38 1 4 4 8.3 9 9 x x x x + + + = 39 9 2( 2)3 2 5 0 x x x x + − + − = 40 4x 8 2x 5 3 4.3 27 0 + + − + = 41 x x (2 3) (2 3) 4 0 + + − − = 42 x x 2.16 15.4 8 0 − − = 43 2x 6 x 7 2 2 17 0 + + + − = 44 25 2(3 )5 2 7 0 x x x x − − + − = 45 2 1 1 3 4.3 27 0 x x + + − + = 46 2 3 3 8 0 x x − + − + = 47 ( ) ( ) 4 15 4 15 8 x x − + + = 48 ( ) ( ) 2 3 2 3 4 0 x x + + − − = 49 2 3. 2 17 11 x x − + = 50 x x (7 4 3) 3(2 3) 2 0 + − − + = 51 2 2 sin x os 81 81 30 c x + = 52 (1 2) 2.(1 2) 3 x x + + − = 53 x x x 3 (3 5) 16(3 5) 2 + + + − = 54 x 3 x 4 0+ − = 1 Phương trình lôgarít 55 1 1 1 x x x 2.4 6 9 + = 56 2 3x 3 x x 8 2 12 0 + − + = 57 x x x 3 4 5+ = 58 2 1 3 2 2 64 0 x x+ + − − = 59 x x x 3.16 2.8 5.36 + = 60 x x 1 x 2 x x 1 x 2 5 5 5 3 3 3 + + + + + + = + + 61 1 2 2 2 2 ( 1) x x x x − − − = − 62 1 4 2 4 2 2 16 x x x + + + + = + 63 25 2(3 )5 2 7 0 x x x x − − + − = 64 3 5 6 2 x x x + = + 65 ( ) ( ) 2 2 log log 2 2 2 2 1 x x x x + + − = + 66 ( ) ( ) ( ) 3 2 3 2 5 x x x − + + = 67 2 2 2x 4 2 2 1 2 4.2 2 0 x x x− − − + − − = 68 2 2 2x 2 1 3 28.3 9 0 x x x+ + + − + = 69 2 2 x 1 2 9 10.3 1 0 x x x+ − + − − + = 70 ( ) − − = 3 x x-1 4 0,5 62 71 2x+1 2 1 3 2 5.6 0 x x+ − − = 72 3x+1 2 2 7.2 7.2 2 0 x x − + − = 73 − − = x x x 36 2 .3 6 0. 74 − − = 4x 2 x 2x 2 x 4.5 29.2 .3 25.2 0 75 ( ) ( ) + +     − + =  ÷  ÷     3 x 3 3 x 3 25 5 5. 7. 2 0 4 2 76     − + =  ÷  ÷     2x 2 x 16 4 3. 7. 4 0 9 3 77 ( ) + + + + = x x x 1 3 3 3 2 3 log 81 0. 78 ( ) − + − = 2 x x 2 2 2 2 log 4 0. 79 ( ) ( ) − + + − = 2 2x 2x 2x 3 2 3 3 1 2 0 80 ( ) − + + = 2 3x 3x 2 2 2 2 log 8 0 81 222 21212 15.34925 xxxxxx −+−+− =+ 82 1 1 1 3.16 2.81 5.36 x x x+ + + + = 83 2 2 2 2 2 2 6.9 13.6 6.4 0 x x x x x x− − − − + = 84 2 1 25 10 2 x x x + + = 85 02.96.453 2242 =−+ ++ xxx 86 − − − + =3.16 2.81 5.36 x x x 87 2 2 2 6.9 13.6 6.4 0 x x x − + = 88 + − − = 3x x 3x 1 x 1 2 .3 2 .3 192 89 + + − = − x+4 x 3 x x 2 3 5 3 5 90 111 9)32(2 −−− =+ xxxx 91 −     =  ÷  ÷     x 3 x x 1 1 5 5 125 92 2 2 2 x 2 1 9 2. 3 3 x x x − −   − =  ÷   93 + = − + 1 2 1 4 2 2 2 x x 94 = − − + 2 2 1 3 1 5 5 3 5 x x 95 + = + x x 1 2 1 5-25 1 25 96 − + = -x 1 x 3 2 4 3 1+3 3 Giải các phương trình sau 97 3 9 3log log 5x x − = 98 2 2 log ( 3) log ( 1) 3x x − + − = 99 3 1 3 6 log (1 ) log 0 2 x x − + = − 100 2 2 log 64 log 16 3 x x + = 101 7 1 7 3 2 log log 0 21 3 6 x x + + = − 102 2 2 1 1 2 2 4 log ( 3) log 5 2log ( 1) log ( 1)x x x + + = − − + 103 2 1 8 log ( 2) 2 6log 3 5x x − − = − 104 2 2 2 log ( 1)log 2 6 0x x x x + − + − = 2 Phương trình lôgarít 105 5 25 0,2 log x log x log 3 + = 106 2 4 log 4 log 5 0x x − − = 107 3 9 27 5 log log 3 log 3 x x x + + = 108 2 5 log log 2 2 x x + = 109 2 2 3 7 2 3 log (4 12 9) log (6 23 21) 4 x x x x x x + + + + + + + = 110 ( ) ( ) 5 5 5 log x log x 6 log x 2 = + − + 111 3 2 9 9 9 2 5log log 8log 2 x x x x x x + + = 112 2 x 3 lg(x 2x 3) lg 0 x 1 + + − + = − 113 1 2 1 4 lg x 2 lg x + = − + 114 1 3 5 1 log log 2 0 3 x   − =     115 ( ) 2 x log 2x 5x 4 2− + = 116 2 2 log x 10 log x 6 0 + + = 117 0,04 0,2 log x 1 log x 3 1+ + + = 118 ( ) ( ) x x 2 2 log 4.3 6 log 9 6 1 − − − = 119 − + + = + 1 lg(5x 4) lg x 1 2 lg 0,18 2 120 ( ) ( ) x 1 x 2 2 1 2 1 log 4 4 .log 4 1 log 8 + + + = 121 x 3 9 1 log log x 9 2x 2   + + =  ÷   122 ( ) x x lg 6.5 25.20 x lg25+ = + 123 ( ) ( ) ( ) x 1 x 2 lg2 1 lg 5 1 lg 5 5 − − + + = + 124 ( ) x x lg 4 5 x lg2 lg3+ − = + 125 2 56 32 1 log 16 3 log 2 x x x x   − = −  ÷   126 2 32 1 75 11 3 log 4 log 2 x x x x   + = −  ÷   127 2 2 3 3 log ( 1) log 2x x x x x + + − = − 128 1 5 25 log (5 1).log (5 5) 1 x x + − − = 129 2 2 3 2 3 log 3 2 2 4 5 x x x x x x   + + = + +  ÷ + +   130 ( ) ( ) 2 2 2 log log 2 2 2 2 1 x x x x + + − = + 131 7 3 log log ( 2)x x = + 132 2 2 3 3 log log 1 5 0x x + + − = 133 2 log ( 1) 1x x   − =   134 2 2 log log ( 1) 1x x + − = 135 2 1/8 log ( 2) 6.log 3 5 2x x − − − = 136 2 2 log ( 3) log ( 1) 3x x − + − = 137 4 4 4 log ( 3) log ( 1) 2 log 8x x + − − = − 138 lg( 2) lg( 3) 1 lg 5x x − + − = − 139 lg 5 4 lg 1 2 lg 0,18x x− + + = + 140 8 8 2 2 log ( 2) log ( 3) 3 x x − − − = 141 2 3 3 log ( 6) log ( 2) 1x x − = − + 142 2 2 5 log ( 3) log ( 1) 1/ log 2x x + + − = 143 4 4 log log (10 ) 2x x + − = 144 5 1/ 5 log ( 1) log ( 2) 0x x− − + = 145 2 2 2 log ( 1) log ( 3) log 10 1x x− + + = − 146 9 3 log ( 8) log ( 26) 2 0x x + − + + = 147 3 1/3 3 log log log 6x x x+ + = 148 4 1/16 8 log log log 5x x x + + = 149 2 2 1 lg( 2 1) lg( 1) 2 lg(1 )x x x x + − + − + = − 150 1/2 1/2 1/ 2 log ( 1) log ( 1) 1 log (7 )x x x − + + = + − 151 2 2 2 lg(4 4 1) lg( 19) 2 lg(1 2 )x x x x + − + − + = − 152 2 4 8 log log log 11x x x + + = 153 2 2 3 3 log log log logx x = 154 2 3 3 2 log log log logx x = 155 2 3 3 2 3 3 log log log log log logx x x + = 156 2 3 4 4 3 2 log log log log log logx x = 157 2 log (9 2 ) 3 x x − = − 158 3 log (3 8) 2 x x − = − 3 Phương trình lôgarít 159 7 log (6 7 ) 1 x x − + = + 160 1 3 log (4.3 1) 2 1 x x − − = − 161 5 log (3 ) 2 log (9 2 ) 5 x x − − = 162 ( ) ( ) 155log.15log 1 255 =−− + xx 163 2 log (12 2 ) 5 x x − = − 164 1 2 log (5 25 ) 2 x x + − = 165 2 log (3.2 1) 2 1 0 x x − − − = 166 1 1 6 log (5 25 ) 2 x x + − = − 167 5 log (26 3 ) 2 x − = 168 ( ) ( ) 2 4 1 log 2 1 .log 2 2 1 x x+ − − = 169 1 4 log (3.2 5) x x + − = 170 ( ) ( ) 2 2 2 3 log 4.3 6 log 9 6 1 2 x x − − − = 171 1 1 5 log (6 36 ) 2 x x + − = − 172 ( ) 15log.5log 22 5 = x x 173 2 2 3 3 log log 1 5 0x x + + − = 174 5 1 2 log 2 log 5 x x − = 175 2 2 1/2 2 log 3log log 2x x x + + = 176 2 2 3 log log 4 0x x− = 177 4 7 log 2 log 0 6 x x − + = 178 3 3 3 log log 3 1 0x x− − = 179 2 2 1/2 2 log 3log log 0x x x + + = 180 3 3 2 2 log log 4 / 3x x+ = 181 5 1 log log 2 5 x x − = 182 3 3 2 2 log log 2 / 3x x− = − 183 2 2 log 16 log 64 3 x x + = 184 2 2 4 1 log 2 log 0x x + = 185 7 1 log log 2 7 x x − = 186 2 2 1 2 2 log 4 log 8 8 x x + = 187 2 2 1/4 log (2 ) 8log (2 ) 5x x − − − = 188 2 5 25 log 4 log 5 5 0x x + − = 189 2 9 log 5 log 5 log 5 4 x x x x + = + 190 2 9 log 3 log 1 x x+ = 191 1 2 1 4 lg 2 lgx x + = − + 192 2 3 2 16 4 log 14 log 40 log 0 x x x x x x − + = 193 ( ) 2 9 3 3 2 log log .log ( 2 1 1)x x x = + − 194 2 2 4 2 4 2 log ( 1) log ( 1) log ( 1) log ( 1) 2 2 2 2 x x x x x x x x + + + − + = + + + − + 195 2 2 2 2 2 log ( 3 2) log ( 7 12) 3 log 3x x x x + + + + + = + 196 2 2 2 4 5 20 log ( 1).log ( 1) log ( 1)x x x x x x − − + − = − − 4 . Phương trình mũ và lôgarít Giải các phương trình sau 1 2 3 2 3 5 5 3 .5 3 .5 x x x x + + = 2 255. + + − = 53 x x x 3 (3 5) 16(3 5) 2 + + + − = 54 x 3 x 4 0+ − = 1 Phương trình mũ và lôgarít 55 1 1 1 x x x 2.4 6 9 + = 56 2 3x 3 x x 8 2 12 0 + − + =

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