·
Geologia ·
Cálculo 1
Send your question to AI and receive an answer instantly
Recommended for you
Preview text
AULA 05 EXERCÍCIOS 1 Resolva as seguintes equações a log₂ x 4 3 b logₓ 3x² x 2 c log₃x² log₃x 6 0 d log₅log₃x 1 2 Sabendo que log 2 0301 e log 3 0477 calcule a log 6 b log 5 c log 25 d log 3 3 Qual o conjunto solução da equação a log₂3x 1 log₄x 1 12 b log₁₀x log₁₀₀ x 2 4 Determine o campo de existência da função fx log₃x² x 12 log₃x² 10x 25 5 Resolva as inequações a log₃5x 1 log₃ 4 b log₂x 4 1 c log₁₂x 1 log₁₂x 2 1 1 a log₂x 4 3 x 4 2³ x 4 8 x 8 4 12 S 12 b logₓ3x² x 2 CE x 0 3x² x 0 0 13 x 13 x² 3x² x 2x² x 0 x2x 1 0 x 0 2x 1 x 12 S 12 c log₃ x² log₃x 6 0 y log₃ x y² y 6 0 S P 6 y₁ 3 y₂ 2 log₃ x 3 log₃ x 2 x 3³ x 3² x 27 x 19 S 27 19 d log₅log₃ x 1 log₃ x a log₅ a 1 a 5 log₃ x 5 x 3⁵ 243 S 243 a log 6 log 2 3 log 2 log 3 0301 0477 0778 b log 5 log 102 log 10 log 2 1 0301 0699 c log 25 log 52 log 5 log 2 0699 0301 0398 d log 3 log 312 12 log 3 04772 02385 3 a log₂3x 1 log₄x 1 12 log₂3x 1 log₂x 1log₂ 4 12 log₂3x 1 12 log₂x 1 12 2 log₂3x 1 log₂x 1 1 log₂3x 1² log₂x 1 1 log₂3x 1²x 1 1 3x 1²x 1 2 9x² 6x 1 2x 2 9x² 8x 1 0 Δ64491 Δ100 x8 100 18 81018 1 19 descartamos pois contraria a condicao de existencia S1 b log10 x log100 x 2 log10 x12 log10 x log10 100 2 12 log10 x 12 log10 x 2 log10 x 2 S100 x102100 4 x2 x 12 0 e x2 10x 25 0 x2 x 12 0 S1 x4 P12 x3 x2 10x 25 0 x52 0 x5 x 3 x 4 SxR x 3 x 4 e x 5 3 4 5 5 Digitalizado com CamScanner 5 a log3 5x 1 log3 4 5x 1 0 5x 1 5x 1 4 5x 5 x 15 x 1 SxR x 1 b log2 x 4 1 x 4 0 x 4 x 4 2 x 6 SxR x 6 c log12 x 1 log12 x 2 1 CF x 2 log12 x 1 x 2 1 x1 x 2 12 x2 3x 2 12 x2 3x 10 0 S3 x 2 SxR 2 x 5 Digitalizado com CamScanner
Send your question to AI and receive an answer instantly
Recommended for you
Preview text
AULA 05 EXERCÍCIOS 1 Resolva as seguintes equações a log₂ x 4 3 b logₓ 3x² x 2 c log₃x² log₃x 6 0 d log₅log₃x 1 2 Sabendo que log 2 0301 e log 3 0477 calcule a log 6 b log 5 c log 25 d log 3 3 Qual o conjunto solução da equação a log₂3x 1 log₄x 1 12 b log₁₀x log₁₀₀ x 2 4 Determine o campo de existência da função fx log₃x² x 12 log₃x² 10x 25 5 Resolva as inequações a log₃5x 1 log₃ 4 b log₂x 4 1 c log₁₂x 1 log₁₂x 2 1 1 a log₂x 4 3 x 4 2³ x 4 8 x 8 4 12 S 12 b logₓ3x² x 2 CE x 0 3x² x 0 0 13 x 13 x² 3x² x 2x² x 0 x2x 1 0 x 0 2x 1 x 12 S 12 c log₃ x² log₃x 6 0 y log₃ x y² y 6 0 S P 6 y₁ 3 y₂ 2 log₃ x 3 log₃ x 2 x 3³ x 3² x 27 x 19 S 27 19 d log₅log₃ x 1 log₃ x a log₅ a 1 a 5 log₃ x 5 x 3⁵ 243 S 243 a log 6 log 2 3 log 2 log 3 0301 0477 0778 b log 5 log 102 log 10 log 2 1 0301 0699 c log 25 log 52 log 5 log 2 0699 0301 0398 d log 3 log 312 12 log 3 04772 02385 3 a log₂3x 1 log₄x 1 12 log₂3x 1 log₂x 1log₂ 4 12 log₂3x 1 12 log₂x 1 12 2 log₂3x 1 log₂x 1 1 log₂3x 1² log₂x 1 1 log₂3x 1²x 1 1 3x 1²x 1 2 9x² 6x 1 2x 2 9x² 8x 1 0 Δ64491 Δ100 x8 100 18 81018 1 19 descartamos pois contraria a condicao de existencia S1 b log10 x log100 x 2 log10 x12 log10 x log10 100 2 12 log10 x 12 log10 x 2 log10 x 2 S100 x102100 4 x2 x 12 0 e x2 10x 25 0 x2 x 12 0 S1 x4 P12 x3 x2 10x 25 0 x52 0 x5 x 3 x 4 SxR x 3 x 4 e x 5 3 4 5 5 Digitalizado com CamScanner 5 a log3 5x 1 log3 4 5x 1 0 5x 1 5x 1 4 5x 5 x 15 x 1 SxR x 1 b log2 x 4 1 x 4 0 x 4 x 4 2 x 6 SxR x 6 c log12 x 1 log12 x 2 1 CF x 2 log12 x 1 x 2 1 x1 x 2 12 x2 3x 2 12 x2 3x 10 0 S3 x 2 SxR 2 x 5 Digitalizado com CamScanner