exercícios para o teste 3º período mat ii 2ª série

¾ 01. Determine o valor das expressões: a) y =log 3 7 .log 7 3 . log 5 11 .log 11 5 b) y =log 2 3 .log 3 4 . log 4 5 .log 5 6 c) y =log 2 3 .log 81 8 d) y =log 3 2 . log 10 3 .log 2 10 e) y =log 5 3 .log 27 4 . log √ 2 10 f) y =log 5 3 . log 81 25 02. Determine o domínio das funções a) y =log ( x −3) 3 b) y =log ( x 2 −9) 2 c) y =log ( x 2 −4 ) ( x −2 ) d) y =log (−2x +7) ( x −2 ) 03. Resolva os sistemas a) x + y =10 log x 4 +log y 4 =2 b) x . y =1 log x 3 −log y 3 = 2 c) x +2y =15 log x 10 −log y 10 =log 3 10 d) x + y =20 log x 10 +log y 10 =2 e) 4 x − y =16 log x 10 −log y 10 =log 2 10 04. Resolva as inequações a) log ( x −1) 5 >0 b) log ( 2x +6 ) 3 <log 4 3 c) log ( x +1) 1 2 >0 d) log ( x −1) 2 <log 3 2 e) log ( 2x −7 ) 3 >log 5 3 f) log x 0,3 ⩽log (−x +3) 0,3 g) log (3− x ) 1 2 −log 2 1 2 >log x 1 2 h) log ( log x 2 ) 3 >0 05. Resolva as equações a) log 3 2 +log ( x −1) 2 =log 6 2 b) log 2 3 +log ( x +1) 3 =1 c) log ( x +4 ) 10 +log ( x −4 ) 10 =2.log 3 10 NOME: MÊS: JUNHO EXERCÍCIOS LOGARITMOS SÉRIE: 2ª TURMA: ENSINO: MÉDIO MATEMÁTICA II II 2ª serie.odt 1 – 1

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01. Determine o valor das expresses:a) y=log 37 . log 73 . log 511 . log 115b) y=log 23 . log 34 . log 45 . log 56c) y=log 23 . log 818d) y=log 32 . log 103 . log 210e) y=log 53 . log 274 . log 210f) y=log 53 . log 8125

02. Determine o domnio das funesa) y=log (x3)3b) y=log (x 29)2c) y=log (x 24)(x2)d) y=log (2x+7)(x2)

03. Resolva os sistemas

a) x+ y=10

log x4 +log y4 =2

b) x . y=1

log x3 log y3 =2

c) x+2y=15

log x10 log y10 =log 310

d) x+ y=20

log x10 +log y10 =2

e) 4x y=16

log x10 log y10 =log 210

04. Resolva as inequaesa) log ( x1)5 >0b) log (2x+6)3 0

d) log (x1)2 log 53f) log x0,3 log (x+3)0,3g) log (3x)1

2log 21

2>log x1

2

h) log (log x2 )3 >0

05. Resolva as equaesa) log 32 +log (x1)2 =log 62b) log 23 +log ( x+1)3 =1c) log ( x+4)10 +log ( x4)10 =2.log 310

NOME: MS: JUNHO

EXERCCIOS LOGARITMOSSRIE: 2 TURMA: ENSINO: MDIO

MATEMTICA II

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