Pt Mu & Logrit ltdh

ph ơng trình và bất ph ơng trình mũ i) ph ơng pháp logarithoá và đ a về cùng cơ số 1) 5008.5 1 = x x x ĐHKTQD - 98 2) ( ) ( ) 244242 22 1 +=+ xxxx x ĐH Mở - D - 2000 3) + xx xx 2 2 2 ,, 4) ( ) ( ) + + 22 !" 5) = + 34x #$!% !" 6) ( ) ( ) 3 1 1 3 310310 + + <+ x x x x ĐHGT - 98 7) 24 52 2 = xx 8) 1 2 2 2 1 2 x xx 9) 2121 444999 ++++ ++<++ xxxxxx 10) 13 12 2 1 2 1 + + x x 11) ( ) 112 1 1 2 + + x x xx 12) ( ) 3 2 2 2 11 2 > + xx xx 13) 2431 5353.7 ++++ ++ xxxx Ii) Đặt ẩn phụ: 1) 1444 7325623 222 +=+ +++++ xxxxxx HVQHQT - D - 99 2) ( ) ( ) 4347347 sinsin =++ xx ĐHL - 98 3) ( ) 1 2 12 2 1 2.62 13 3 =+ xx xx ĐHY HN - 2000 4) ( ) 05232.29 =++ xx xx ĐHTM - 95 5) ( ) 77,0.6 100 7 2 += x x x ĐHAN - D - 2000 6) 1 12 3 1 3 3 1 + + xx = 12 HVCTQG TPHCM - 2000 7) > + +1 & 8) 1099 22 cossin =+ xx ĐHAN - D - 99 9) 1 1 2 4 2 2 12 x x x+ + + + = + ĐHTCKT - 99 10) 2 2 2 1 2 2 2 9.2 2 0 x x x x+ + + + = ĐHTL - 2000 11) ( ) ( )( ) ( ) 3243234732 +=+++ xx ĐHNN - 98 12) '( =++ + 9 #)*% 13) '+'', =+ "/01- i Trang: 1 14) +  < 234*5 15) ( ) ( )      ≤−++ + ( )   16)   =+ + 26 17)   += 27701-! 18) ( ) ( ) ''  =++ 8*729 19) ',  =+ + 26:;01-! 20) 0173. 3 26 9 =+       − xx 2 "/01-! i 21) 09.93.83 442 >−− +++ xxxx §HGT - 98 22) 022 64312 =− −++ xx 23) ( ) ( ) 43232 =++− xx 24) ( ) ( ) 02323347 =+−−+ xx 25) 111 222 964.2 +++ =+ xxx 26) 12.222 56165 22 +=+ −−+− xxxx 27) 101616 22 cossin =+ xx 28) 0 12 122 1 ≤ − +− − x xx 29) xxxx 22.152 53632 <+ −+−−+ 30) 222 22121 5.34925 xxxxxx −−+−+ ≥+ 31) 03.183 1 log log 3 2 3 >+− x x x 32) 09.93.83 442 >−− +++ xxxx 33) 3log 2 1 1 2 4 9 1 3 1 >       −       − xx 34) 9339 2 −>− + xxx 35) xxxx 993.8 44 1 >+ ++ 36) 1313 22 3.2839 −−+− <+ xx 37) 013.43.4 21 2 ≤+− + xxx 38) 2 5 2 2 1 2 2 1 log log >+ x x x 39) 0124 21 2 ≤+− +++ xxx III) ph ¬ng ph¸p hµm sè: 1) 12 21025 + =+ xxx HVNH - D - 98 2) xxx 9.36.24 =− §HVL - 98 3) 2 6.52.93.4 x xx =− §HHH - 99 4) 13 250125 + =+ xxx §HQG - B - 98 5) ( )   1 2 1 −= −− x xxx 0<= 6) ( )     ++−>++− 2525 xx x /4& i 7) 163.32.2 −>+ xxx §HY - 99 8) x x 381 2 =+ 9) 5loglog2 22 3 xx x =+ 10) ( ) 0331033 232 =−+−+ −− xx xx 11) ( ) 2 1 122 2 −=+− −− x xxx 12) 1323 424 >+ ++ xx 13) 0 24 233 2 ≥ − −+ − x x x 14) 3 x + 5 x = 6x + 2 Trang: 2 Mét sè bµi to¸n tù luyÖn: 1) 3 x+1 + 3 x-2 - 3 x-3 + 3 x-4 = 750 2) 7. 3 x+1 - 5 x+2 = 3 x+4 - 5 x+3 3) 6. 4 x - 13.6 x + 6.9 x = 0 4) 7 6-x = x + 2 5) ( ) ( ) 43232 =++− xx (§Ò 52/III 1 ) 6) 132 2 += x x (§Ò 70/II 2 ) 7) 3 25 x-2 + (3x - 10)5 x-2 + 3 - x = 0 (§Ò 110/I 2 ) 8) ( ) ( ) x xx 23232 =−++ 9)5 x + 5 x +1 + 5 x + 2 = 3 x + 3 x + 3 - 3 x +1 1 ( ) ( ) ( ) ( ) 2121 2 5 6 318 12 2 143 3 333222202162194218 41151710245245160466139615 04551433681242111110 2 2 2 −−−− +− −+− −− + −−+ − +−=++== =+=−++=+− =+−===+ xxxxxx xx xxx x xxx xxx xxx x x xxx x x    ( ) ( ) ( ) 01722)260273.43)25122)24 1)2311)22125.3.2)21 7625284 4 2 2 2 1 221 2 2 =−+=+−=+− =−=+−= ++++ − − − −− xxxx x x x xxx xx xxxx   ( ) ( ) 084.1516.2)28043232)27 =−−=−−++ xx xx  ( ) ( ) ( ) ( ) 3 2531653)3002323347)29 + =−++=+−−+ x xxxx  012283396423236581216331 332111 =+−=+=+ + x x xxxx xxx  ( ) ( ) ( ) ( ) ( )   (    ,      >,?, '>,,+ ?   ?   == == =       =−+−− ++=++=−+=+ −− − − + + + ++ + +++− 33 3 1 13 1 10 3 3 1 122 2112212 25,0 125,0.4 021223)37 532532)36043)35543)34 x x x x x x xx xxxxxxxxxx xx x xx 11 211 12 50.25,425 =+= =       =       +−− −       ,'>, ,,  ( +  >',   024-10.2-4 48) 0336.3- 947) 1-xxxx 22 ==+ −− 31 @AB51CDEA !    ?    , − + − = /    '   '  − − = *                 − − − − + + = − + -          − − = F         − − + = G         − − =    ,      − − + = @AB51CDEA ! , ?    , (  + + − + = /  '  (   (  + + + − = *       , + + − − = -   ' , ? − − = F       '   + + + − = G   ( ,     + − − + =     ' ? '+ =        , ' ++ =       ?    + − + = H                 + + + + + + = + +       − + =  @AB51CDEA !     , + = /    , + − = *           − − + − = -                 − + + + + + = + + @,AB5*4*81CDEA !  I  I  , ?   + − −  =   =   /   I  I    ,  + − −  =   =   /  I  I   ((   (  − =   − =   -  I     I   + =  + =  F  I  I   ,  I  I   ' J J J J     − − + +  − = −    − = −  :KJ>L @AB5:@/801CDEA !   J  J J  − − + + =  /   J J ? − + = @'AEJJMN1CDE*O8JA   J ,+ J  J  − − − + − = @(AB5*4*/P1CDE3!A ! '    +  + < /         − + ≥ *       − < < -      − + < F          − + + + < G           + − > −  @?AB5*4*/P1CDE3!A !    +   − + − < /    ,  ( + − ≤ *          + ≥ − − -          + + < + F       − + > G     +   + + − > − @+AB5/P1CDE3!A           − + − ≤ − @A "/P1CDEA    , J   − − + > !B5/P1CDEJQ ' +  /RJMN/P1CDES!  T∀ ∈  @A!B5/P1CDEA        +    +     + >  ÷  ÷     U /RJMNJV8J*W!UMX0@8J*W!/P1CDEA  ( )   J    J + + + − < @AB5*4*1CDEA ! ( ) ( )    0"  0"  ' 0"  = + − + /   > 0"  0"  0" + = * ( )   0"   , − + = -    0   0    + + − + = − F  0 , 0    0>?  − + + = + @AB5*4*1CDE3!A !    , 0  0 + = − + /   0"  0"  ' + + = * >, > 0"   0"   + + + = -  '  0" ' ,0"  0" − = F    0" ' 0" ', + = G  00 00  + − = @,AB5*4*1CDE3!A !   +  0" 0"  +     + + =  ÷   / ( ) ( )     0" , ' 0" + ' − − − = * ( ) ( )         0" , , 0" ,  0" ? + + + = - ( )   0 '   0+ = + F ( ) ( ) ( )     0  0   0   − − + + = + G ( )   0 ,  0 0+ − = +  0 0   = −    0  0      − − = −     0"  0"    '+ = @AB5*4*1CDEA ! ( ) ( )   0   ' , 0  + − − = + + / ( ) ( )   0"   0"   + + + = * ( ) ( ) ( ) ( )      0"   ,   0"   ' + + + + + − = - ( )  0"     + = @AB5*4*81CDEA !   0 0I   I + + =   + =  /    0"  0" I  0"   I  + = +   + =  * ( ) ( ) ( )   0  I  0 0  I 0  I 0  + = +   + − − =   - ,    0"  0" I   I ,  − =    − + =   F ( ) ( )  I I    ,  0"  I  0"  I +   =   + = − +  G I   I 0"  0" I 0"  I ,I   =   = +   @'AB5:@/80*4*1CDEA ! ( ) ( )  0 J J   J  0     + − + − = −   /     0" ! 0" ! 0" !+ = *  3  3  0" 0" ! = − -   !  ! , 0" !0"  !  − = − @( AEJJMN1CDE*O8J-IPA ! ( ) ( )     0"  ,! 0"  !  + + − − = / ( ) ( ) 0 !  0   = + @?AEJ!MN1CDE*O,8J1Y/8    0"  0"  ! − + = @+AB5/P1CDEA ! ( )  ? 0"  ,  − + ≤ /   0"  0"   − − < * ( )   ,  0" 0"      − >   - ( ) ( )     0"  ' ? 0"  , − + + − < F     0"  0"   + ≥ G ( )   + 0" 0"  +    − <       0" 0" 0" , >    , ' 0"   + ≥  ( ) ( )   0"    0"  + ≥ + − H ?  ?  0"   0"    − + − >     0" 0"     ≥  ÷  ÷   0   0"  ,0"  + > J     ,  0"     − + ≥ + −     0"  0"  + > " ( )   0"   ' − + < 1 ( )    0"    − − > Z       0"      +   − + ≥  ÷   D  '     0" 0"    + −   >  ÷ +   3    0"  0"  + ≤     '  0" 0"  0"  ' > −      0"  ,0"  + 0"  − + ≥ − : ( )  ,   '  0"  ,0"   , 0" + < − @AB5/P1CDEA !  ' ' 0"  0"  '  + ≤ /     0"  0"     − − > * ( ) ( )       0"   0"    + − − > − - ( ) ( )        0"  ,  0"  ,      − − − − − ≥ − − @AB58/P1CDEA !    ,   ' ', 0  ( 0  0  + >  − +   + > − −  / ( ) ( ) ( ) ( )       0 0   0 (  0"    +  − + + < +   + >   * ( ) ( )   , I 0"  I  0"    − −  − >   − >   @AB5:@/80*4*/P1CDE  ! < ≠ A ! ! 0"     !  + > /  ! !  0"    0"  + > + * ! !     0"   0"  + < − + -  !  0"  0"    − > @A "/P1CDEA ( ) ( )   ! ! 0"    0"   − − > − + + S!J[:KA +  , = B5/P1 CDE @,AEJJMN8/P1CDE*O8JA  0  J0 J      − + + ≤  >  @A "/P1CDEA ( ) ( )     J   J  J 0" − + + < − ! B5/P1CDEJQ / B5:@/80/P1CDE @'AB5:@/80/P1CDEA ( ) ( )  ! 0"  ?!    − − ≥ − .   0"  ' ? 0"  , − + + − < F     0"  0"   + ≥ G ( )   + 0" 0"  +    − <       0" 0" 0" , >    ,. ,0"  + > J     ,  0"     − + ≥ + −     0"  0"  + > " ( )   0"   ' − + < 1 ( )    0"    − − > Z    .  ' > −      0"  ,0"  + 0"  − + ≥ − : ( )  ,   '  0"  ,0"   , 0" + < − @AB5/P1CDEA !  ' ' 0"