VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông Co dua Doa nay Bot net t Ma ko thay gi B i 1: Già ải pt § 8 x + 18 x = 2.27 x 8 x − 7.4 x + 7.2 x + 1 − 8 = 0 49 x+1 + 40.7 x+2 - 2009 = 0 9 2x +4 - 4.3 2x + 5 + 27 = 0 5 2x + 1 - 7 x + 1 = 5 2x + 7 x 64 .9x – 84 .12x + 27 . 16x = 0 Bài 2: Giải BPT x x 2.16 15.4 8 0− − = 2x 8 x 5 3 4.3 27 0 + + − + = x x x 3 (3 5) 16(3 5) 2 + + + − = 3 4 2 2 3 9 x x − − = 3sin 1 2 9 3 4 x+ = ÷ cos 2 3cos 4 49 7 16 x x− = ÷ 2 2 3 3 30 x x+ − + = 1 2 2 1 x x− − = 2 2 1 4 5 2.5 123 0 x x− − − − = 2 2 2 2 2 3 x x x x− + − − = 1 4 6.2 32 0 x x+ − + = 27 13.9 39.3 27 0 x x x − + − = cot cot 9 3 2 x x + = 033.369 31 22 =+− −− xx ( ) ( ) 3 2 2 2 2 1 2 1 0 x x + − + − − = 2 2 8 36.3 x x x − + = 2 3 3 log log 3 162 x x x+ = 2 5 7 x x x + = 3 4 5 x x x + = 2 2 9 log 3log 2log 2 10 x x x x − − − = 2 2 2 3 2 6 5 2 3 7 4 4 1 4 x x x x x x− + + + + + + = + ( ) ( ) 43232 =−++ xx 6.9 13.6 6.4 0 x x x − + = 8.4 70.10 125.25 0 x x x − + = 2 2 2 2 2 5 x x x x+ − − + = 0624 =−+ xx 0273.43 5284 =+− ++ xx 09.66.134.6 =+− xxx 04.66.139.6 1 .6 11 =+− + xxx xxx 9.21525 =+ ( ) 329log 2 =−+ x x 5332 2 42 −+− = xxx ( ) 093.823 12 =+− + xx 073.59 =++ xx ( ) ( ) 3 2531653 + =−++ x xx xxx 36.281.216.3 =+ 25 2 5 15 0. x x − − = 4 2 1 3 -4.3 27 0 x x + + = 2 2 3 3 24 x x+ − − = 1 5 2 8 2 0 2 5 5 x x+ − + = ÷ ÷ ( ) ( ) 4 15 4 15 2 x x − + + = 3 1 ( 3 2) ( 3 2) x x x− + = − x l x 3 2.3 7 . + − + = 2 1 3 9.3 6 0 x x+ − + = 2 2 2 9.2 2 0 x x+ − + = 1 1 4 6.2 8 0 x x+ + − + = x x x 6.9 13.6 6.4 0− + = x x (7 4 3) 3(2 3) 2 0+ − − + = x x 2.16 15.4 8 0− − = x x x 3.16 2.8 5.36+ = 6 2 9 3 x x+ < 055.425 <−− x x 222 22121 15.34925 xxxxxx −−+−+ ≥+ ( ) ( ) x xx 2.8215.7215 ≥++− VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông 2.14 x + 3.49 x – 4 x ≥ 0 3.4 x + 1 − 35.6 x + 2.9 x + 1 ≥ 0 Bài 3: Giải Pt ( ) ( ) 1 2 7 1 4 15 4 15 x x x + − − − ≤ + 12 3 1 3 3 1 1 12 > + + xx 3 9.3 10 0 x x− + − < 1 1 1 ( ) 8 12.( ) . 4 2 x x+ + ≤ ( ) ( ) 7 4 3 7 4 3 14 x x − + + ≥ 2 2 2 2 1 2 2 1 9 34.15 25 0 x x x x x x− + − − + − + ≥ 27 5.12 6.8 0 x x x + − ≥ 1 9 4.3 27 0 x x+ − + ≤ 1 6 4 2 2.3 x x x+ + < + 922 7 ≤+ −xx 2x 2 x x 3 2.6 - 7.4 0 + − > 3 log log 9 3 x x + = 1)1(loglog 22 =−+ xx ( ) ( ) 8log21log3log 444 −=−−+ xx 33loglog.4 9 =+ x x 2 2 1 2 log ( 2 8) 1 log ( 2)x x x− − = − + 2 2 log 2 log 4x 3 x + = 2 2 x log x log 2 3+ = ( ) 43.59log 2 =+ xx ( ) [ ] 169loglog 3 =− x x ( ) 16log1log 12 + =+ x x ( ) ( ) 3 3 3 log 2 log 2 log 5x x+ + − = 2 2 1 2 2 log 3log log 2x x x+ + = ( ) ( ) 2 2 2 log 4 log 8 2x x x− + = + ( ) 2 1 1 log 1 log 4 x x − + − = 2 3 5 7lg lg lgx x x− = − 2 2 2 16 7 0 + − =. log logx x 2 2 2 2 9log log logx x x+ = 4 7 log 2 log 0 6 x x− + = 16 2 3log 16 4log 2log x x x− = 2 2 log 16 log 64 3 x x + = 2 2 2 log 3.log 2 0x x− + = 3 3 log log 2 4 6 x x+ = ( ) ( ) 2 3 3 log 5 log 2 5x x x− − = + ( ) 2 2 log 4 log 2 4x x+ = + − ( ) ( ) 3 2 3.log 2 2.log 1x x+ = + ( ) ( ) 2 2 2 log 4 log 2 5x x− = ( ) [ ] { } 2 1 log31log1log2log 3234 =++ x VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông log 4 (x +3) – log 4 (x 2 – 1) = 0 log 2 (9 x – 2 +7)–2 = log 2 ( 3 x – 2 + 1) log 4 x + log 2 x + 2log 16 x = 5 log 2 x + logx + logx = log 2x - log(5 x + x - 2) = log 4 x Bài 4: Giải BPT ( ) 2 1 213log 2 3 =+−− + xx x ( ) 112log.loglog2 33 2 9 −+= xxx ( ) ( ) 155log.15log 1 255 =−− +xx ( ) xx 57 log2log =+ 2 10 log 6 9x + = ( ) ( ) 654log5.254log3 2 2 2 2 =+−−++−+ xxxx ( ) 2log2log 2 2 =++ + xx x x 3log3)127(log)23(log 2 2 2 2 2 +=+++++ xxxx )112(log.log)(log2 33 2 9 −+= xxx ( ) ( ) 4 2 2 4 log log log log 2x x+ = 5 25 0,2 log log log 3x x+ = ( ) ( ) 2 3 4 8 2 log 1 2 log 4 log 4x x x+ + = − + + 5 25 0,2 log log log 3x x+ = 1 .log(5 4) log 1 2 log0,18 2 x x− + + = + ( ) ( ) 2 2 2 log 4 log 8 2x x x− + = + 4 7 log 2 log 0 6 x x− + = ( ) 2 1 1 log 1 log 4 x x − + − = 16 2 3log 16 4log 2log x x x− = 2 2 log 16 log 64 3 x x + = ( ) 15log.5log 22 5 = x x ( ) ( ) 2 2 2 2 log x x-1 log x -2 0x + − = 2 2 2 log x log 1 1 x+ + = ( ) ( ) 2 2 2 log x 4 x log 8 x 2− + = + 2 2 2 2 2 0log logx x+ − = 2 1 1 1 4log ( ) log x x − + − = 2 2 2 16 7 0. log logx x+ − = 2 2 1 2 2 log 3log log 2x x x+ + = 242 3 2log2)2(loglog 444 −=−+ xx ( ) 2 2 2 2 2 log x 2 log 4 5 x + + + = 1)5(log)3(log 33 <−+− xx ( ) ( ) 2 2 log 3 1 log 1x x+ ≥ + − 6logloglog 3 1 3 3 <++ xxx )2(log)1(log 2 2 1 xx −≤+ ( ) 2 2 2 2 log 3 1 2log 0x x x+ − − + ≤ 3 2 log 5 1 x x − ÷ < ( ) ( ) 2 2 log 3 1 log 1x x+ ≥ + − 2 2 log 64 log 16 3 x x + ≥ 2 2 log log 8 4 x x + ≤ ( ) ( ) 114log16log 2 2 2 −≥− xx ( ) ( ) 04log286log 5 2 5 1 >−++− xxx VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông log 2 ( x 2 – 4x – 5) < 4 Bài 5: Giải hpt a) b) c) d) e) g) ( ) 165 2 2 <+− xx x log ( ) 24311log 2 5 <+− xx ( ) ( ) xx −≤+ 2log1log 2 2 1 ( ) 2385log 2 >+− xx x 1 1 12 log > − − x x x 2 2 8 1 log 2 1 x x x + − ≤ ÷ ÷ + 3 1 2 log log 0x ≥ ÷ ÷ ( ) 2 1 4 3 log log 5 0x − > 1 log 2 4 x x − ≥ ÷ ( ) 2 log 5 8 3 2 x x x− + > 2 2 log log 8 4 x x + ≤ 2 3 3 3 log 4log 9 2log 3x x x− + ≥ − ( ) ( ) 2 4 4 2 log log log log 2x x+ ≥ 2 2 log 3 log 1x x+ ≥ + ( ) ( ) 2 2 2 log 3 2 log 14x x x− + ≥ + ( ) 2 2 2 3 log 2 log 1x x− ≤ ( ) 2 1 log 4 2 x x x + − ≤ 1 1 2 2 2 1 log ( 3) log (4 ) log 6 x x+ + − > ( ) ( ) 252lg15lg <−++ xx 1 2 23 log x > + + x x 1 1 32 log 3 ≤ − − x x ( ) 3 4 1 5 log 4 1 log 3 2 x x + + + > =+ =−− 25 1 1 log)(log 22 4 4 1 yx y xy 2 3 9 3 x 1 2 y 1 3log (9x ) log y 3 − + − = − = =+ =+ 4loglog2 5)(log 24 22 2 yx yx 2 2 lg x lg y 1 x y 29 + = + = 4 2 2 2 log x log y 0 x 5y 4 0 − = − + = 1 3 2 5 4 6.3 2 0 y x x y + − = − + = . VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông Co dua Doa nay Bot net t Ma ko thay gi B i 1: Già ải pt § 8 x + 18 x = 2.27 x 8 x − 7.4 x . <−− x x 222 22121 15.34925 xxxxxx −−+−+ ≥+ ( ) ( ) x xx 2.8215.7215 ≥++− VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông 2.14 x + 3.49 x – 4 x ≥ 0 3.4 x + 1 − 35.6 x + 2.9 x + 1 ≥ 0 Bài 3: Giải Pt ( ) ( ) 1 2. x− = ( ) [ ] { } 2 1 log31log1log2log 3234 =++ x VipLam.Net PT, BPT MŨ VÀ LOGARIT Gv: Đoàn Văn Đông log 4 (x +3) – log 4 (x 2 – 1) = 0 log 2 (9 x – 2 +7)–2 = log 2 ( 3 x – 2 + 1) log 4 x + log 2 x