BÀI TẬP CHUYÊN ĐỀ PHƯƠNG TRÌNH MŨ, BẤT PHƯƠNG TRÌNH MŨ VÀ LÔGARÍT

Netschool.edu.vn BI TP CHUYấN PHNG TRèNH M, BT PHNG TRèNH M V LễGART I) PHNG PHP LOGARIT HO V A V CNG C S 1) x x x 2) x 3) 4) x 3x x 10 x 7) 4x 10 x x HGT - 98 x x x x x 12) x x2 11) x x 2 x x x x 9) x x x x 1 10) x x 2 H M - D - 2000 (Cao Đẳng SP kỹ thuật Vinh - 2001 (Cao Đẳng SP Đ ồng Nai - 2001 - khối A) x 8) x x HKTQD - 98 (Đ HSPI - 2001 - khối B, M, T) x-1 x x-1 x x2 x 2 2.3 x x 5) x - x 6) 500 13) 7.3 x x x x II) T N PH: 1) x x 4x x sin x 42 x x sin x 74 12 3x x 3) 6.2 x x x x 4) 2. x 23 x 2) 5) 72 x 100 x sin2 x HL - 98 HY HN - 2000 HTM - 95 HAN - D - 2000 1x 7) HVQHQT - D - 99 6.0,7 x 1x x 6) = 12 1x cos x HVCTQG TPHCM - 2000 12 10 8) x x x2 9) 12 2 10) 22 x 9.2x x 22 x2 (Đ HY TPHCM - 2001) HAN - D - 99 HTCKT - 99 HTL - 2000 Netschool.edu.vn Trang:1 Netschool.edu.vn 32 42 HNN - 98 -7.3x-1 - 6.3x x1 (Đ H hồng Đ ức - 2001 - khối A) x 11) 2x-1 12) 5.3 x 13) 6.4 - 13.6 6.9 (Đ H dận lập binh d-ong - 2001) 14) - 2.3 (Đ H nh sát - 2001 - khối D) x x x x x 15) 2x-x 2x-x 16) 12.3 3.15 - x 17) x x1 - 35 x 18) x 19) - 6.2 x1 20 x-1 2x-1 x 35 (Đ H huế - 2001 - khối D) (Đ H dan lập Đ ông Đ ô - 2001 - BD) 12 32 26 x .3 17 8.3 x x 9.9 x 22) x 364 (Đ H dan lập binh d-ong - 2001 - khối D) x 2x 21) x 23) 24) x 25) 2.4 26) x x HGT - 98 log32 x 31) 2x 32) 32 6x x x x 9x 33) 21 x 2.2 65 x 2 29) sin x x x 15.2 x 35 x 35) 8.3 36) 37) 12 x x 912 x x 34.52 x x x x 9.9 x x x x 31 x 2 x log21 x 38) 30) 25 log3 x log2 42 x x x 34) x 18 x 8.3 x 16cos x 10 21 x x 28) x 27) 16 (Đ H DL kỹ thuật công nghệ - 2001) (Đ H dan lập văn hiến - 2001 - khối D) 20) x Đ HPCCC - 2001 - 212x-x x 91 x x x 28.3 x x 31 4.3 x log1 x 2 39) 4 x III) PHNG PHP HM S: 1) 25 10 x x x 2) 2.6 3.9 x x 3) 4.3 9.2 x x 5) 6) x x - 2x x HVL - 98 x 5.6 4) 125 50 x HVNH - D - 98 x HHH - 99 x HQG - B - 98 x 12 (Đ H Thuỷ lợi - 2001 ) - 3x 5x 2x x 2x - 3x 5x 2x2 x (Đ HY thái binh - 2001) 7) 2.2 3.3 x Trang:2 x x HY - 99 Netschool.edu.vn Netschool.edu.vn 8) x 3x 9) x x log2 x 10) 3x 103 x x log2 x 11) x2 x x x 12 2 x 13 32 x x 13) 4x 12) x 14) 3x + 5x = 6x + Netschool.edu.vn Trang:3 Netschool.edu.vn MT S BI TON T LUYN: 1) 3x+1 + 3x-2 - 3x-3 + 3x-4 = 750 2) 3x+1 - 5x+2 = 3x+4 - 5x+3 3) 4x - 13.6x + 6.9x = 4) 76-x = x + x 5) x ( 52/III1) 6) x 10)x x 3x 11)2 18)2 x 21)2 x x 24) x x 2 19)2 12 x 29)7 32 x x x 31)3.16 2.81 5.36 37) x x 39) 41) x3 x 0,125 x-3 3x-7 x x 0,25 x x 25 x 12 43) 0,6 x b Trang:4 16 36.32 x x 51 x 17) 15 x x 20)2 x x x 3x 3x 3x 23) x x x 26)2 x x 17 28)2.16 x 15.4 x 30)3 163 x x 6x x 9x 33)8 x 3x x 36)2 x 32 x 52 x x x x 38) x x x x 3.31 x x 2.0,5 10 42) x 47) 9x - 36.3x Bi 1: Gii phng trỡnh: a 2x x8 413x x2 6x 14)5 16 40) 27 125 45) 3.52x-1 - 2.5x-1 0,2 x 12)8 x x x 32)2.4 x x 34)3 x x x 35)3 x x x 2x x x x x 25)34 x 4.32 x 27 27)2 22) x x x 8) x x 6x 3x ( 70/II2) 16)5 24 24 10 15)6.9 x 13.6 x 6.4 x x x x 7) 25x-2 + (3x - 10)5x-2 + - x = ( 110/I2) 9)5x + 5x +1 + 5x + = 3x + 3x + - 3x +1 x x 32 44) x 2 5x 1 46) 10 - 16 25 x 0,01 10 x-1 - 3x 3x x 81 x - 2x 4,25.50 48) x - 10.2x - - 24 x 12 Netschool.edu.vn c 2x 2x1 2x2 3x 3x1 3x2 d 2x.3x1.5x2 12 e (x2 x 1)x 1 f ( x x ) x g (x 2x 2) x Bi 2:Gii phng trỡnh: a 34x8 4.32x5 27 b 22x6 2x7 17 c (2 3)x (2 3)x d 2.16x 15.4x e (3 5)x 16(3 5)x 2x3 f (7 3)x 3(2 3)x g 3.16 x 2.8 x 5.36 x h 2.4 x i x 6x 3x x x1 j x 9x 12 5x2 3x 3x1 3x2 k (x 1) x3 Bi 3:Gii phng trỡnh: a 3x 4x 5x b 3x x c x2 (3 2x )x 2(1 2x ) d 22x1 32x 52x1 2x 3x1 5x2 Bi 4:Gii cỏc h phng trỡnh: 5x y 125 x y 128 a 3x2y b (x y)2 1 32x y 77 x y 12 b x d y x y x y x y 2 m m m m e xy vi m, n > xy n n n n Bi 5: Gii v bin lun phng trỡnh: a (m 2).2x m.2 x m b m.3x m.3 x Bi 6: Tỡm m phng trỡnh cú nghim: Trang:5 Netschool.edu.vn (m 4).9x 2(m 2).3x m Bi 7: Gii cỏc bt phng trỡnh sau: a x x c x2 x e (x 2x b 3x d (x2 x 1)x 25 x x 3) 1 2x 1 f (x 1) x Bi 8: Gii cỏc bt phng trỡnh sau: a 3x 9.3 x 10 1 c x1 1 3x 2x x2 b 5.4x 2.25x 7.10x d 52 x 55 x x f 9x 3x 3x 21x x Bi 9: Gii bt phng trỡnh sau: 2x Bi 10: Cho bt phng trỡnh: 4x1 m.(2x 1) 16 a Gii bt phng trỡnh m= b nh m bt phng trỡnh tha x R e 25.2x 10x 5x 25 x x Bi 11: a Gii bt phng trỡnh: 12 (*) 3 b.nh m mi nghim ca (*) u l nghim ca bt phng trỡnh: 2x2 m x 3m Bi 12: Gii cỏc phng trỡnh: a log5 x log5 x log5 x b log5 x log25 x log0,2 c logx 2x2 5x d lg(x2 2x 3) lg x3 x 1 e .lg(5x 4) lg x lg 0,18 Bi 13: Gii cỏc phng trỡnh sau: a lg x lg x b log2 x 10log2 x c log0,04 x log0,2 x Trang:6 Netschool.edu.vn d 3logx 16 4log16 x 2log2 x e logx2 16 log2x 64 f lg(lgx) lg(lgx 2) Bi 14: Gii cỏc phng trỡnh sau: a log3 log9 x x 2x b log2 4.3x log2 9x c log x log x log d lg 6.5x 25.20x x lg25 e lg2 lg x lg 51 x f x lg x xlg2 lg3 g 5lgx 50 xlg5 h x lg2 x lg x2 x i 3log3 x xlog3 x 162 Bi 15: Gii cỏc phng trỡnh: a x lg x2 x lg x b log3 x log5 2x c x log32 x x log3 x 16 d x Bi 15: Gii cỏc h phng trỡnh: lg x lg y log3 x log3 y log3 a b x y x y 29 lg x y 3lg2 log x log2 y c d 2 x 5y lg x y lg x y lg3 xy log x xy log y x y x 32 e f log x log3 x y log3 x y y y 4y Bi 16: Gii v bin lun cỏc phng trỡnh: a lg mx2 2m x m lg x log x b log3 a logx a log x a Trang:7 Netschool.edu.vn c logsin x 2.logsin2 x a a2 d log 2a x Bi 17 : Tỡm m phng trỡnh cú nghim nht: a log3 x2 4ax log 2x 2a a.log2a x lg ax lg x Bi 18: Tỡm a phng trỡnh cú nghim phõn bit 2log32 x log3 x a Bi 19: Gii bt phng trỡnh: a log8 x2 4x b b log3 x log3 x c log log4 x2 d log x2 6x log5 x e log x log x f logx log9 3x g logx 2.log2x 2.log2 4x 4x h log x i log2 x log2 x j log8 (x 2) log (x 3) k log3 log x l log5 3x 4.logx x 4x x2 x n log x log3 x m log3 o log2x x2 5x Trang:8 Netschool.edu.vn p log3xx2 x q log x x x2 3x x r log x6 log2 x s log22 x log2 x t logx 2.log x 16 log2 x u log32 x 4log3 x 2log3 x v log21 x log2 x log16 x Bi 20: Gii bt phng trỡnh: a 6log6 x xlog6 x 12 b x2log2 2xlog2 x x x c log2 log x1 d log5 x 4x 11 log11 x 4x 11 5x 3x Bi 21: Gii h bt phng trỡnh: x2 a x 16x 64 lg x lg(x 5) lg2 x x x lg2 lg lg 7.2 12 b log x x log2x y c log 4y 2x Bi 22: Gii v bi lun cỏc bt phng trỡnh( a ): a xloga x1 a x log2a x b loga x c loga x loga x Trang:9 Netschool.edu.vn d logx 100 loga 100 Bi 23: Cho bt phng trỡnh: loga x2 x loga x2 2x tha vi: x phng trỡnh Bi 24: Tỡm m h bt phng trỡnh cú nghim: lg2 x m lg x m x Bi 25: Cho bt phng trỡnh: x2 m x 3m x m log x a Gii bt phng trỡnh m = b Gii v bin lun bt phng trỡnh Bi 26: Gii v bin lun bt phng trỡnh: loga 8a x x Trang:10 Gii bt