Kategoria: Zbiór zadań do klasy 3 stara poziom podstawowy

a) log₂ (x² + y) ≤1

b) logı(y+1)2x+1

a) log x-1 – log y = 0

c) log y = log(y + 2x) – log x

jest ciągiem arytmetycznym. Podaj różnicę tego ciągu.

x-y-log₂ m=1

x-log₂ m-y=0

jest oznaczony i spełnia go para liczb (x, y) taka, że x <y.

3-2=576

b)

log, x+log, 2=1

log (V-x)=4

c) [log₁ x + 30% =7

d)

(√2)(√5) = =80 log, (x-y)=-1

a) x =√10

c) x¹=9

d) log, (9-2+3x+2) > log, 2

b) x 2–logx <= 100

a) log₂ (3x+1+1)>1+ log₂(9x-2)(b) log, (3-2x+3) ≤ log, (4-1)-1 3

c) l080.1 (4x²+4*2²²*4-2) > -1

a) 4

≤2,5

b) 108: (x²-3x+1)

d) 0,2

log c) 0,3 3x-1 81Jx+2 > 1

b) log₂ (9-2″) = 2508, √3-x

c) log₂ (25x+3-1)=2+ log₂ (5*+³+1)

c) log₂ (12-2)=5-x

a) f(x)=log.s(x²-4) + √√6-2x

c) f(x) = log₂[1-log, (x²-5x+6)]

b) f(x) = √log(9-x²) 2-4 X d) f(x) = 1081 x²-1 2

b) log, (x+1)+ log? (x+1)+ log? (x+1)+… >1 2 2 2

c) logx + log2x +log, ³x + … < 1 2

d) (1-log x)²+(1-log x)³ + (1-log x)² +… <3log x-1

b) log₁x+4²<1

c) log(x+3) <1

d) log 2

d) logo loge x² + x X+4 <0

a) log, x>log,3-2,5

b) log₂ (x-1)-log₂(x + 1) + log,12>0

c) log, 8+log, 8< log, xª log, x²-4

d) log,2 log, 2-log₂4x> 1

a) log, log,(x²-5)]>0 3

b) log, log21 2 1+2x 1+x >0

x²-2x X-3 c) log, log

b) -2log ²x + 3log,x-1>0

d) log x-3 log x= log₁x+3<0 3 3 3

b) 1 log₂ x 1 log, x-1 <1+

d) 1 1 log, x-2 log, X >0

5-logx logx+1

1 1 c) -> log₂ X-4 log₂ x

a) log x-2log, x-3<0 2 2

c) log₂³x-7log,²x+14log-x-8>0

a) logo 25 x>-1 2-x

b) log₁ x+1 <0

c) log x+2 21 1-x

b) log₁ (5+4x-x²) > -3 2

c) log, (x²+2x+1) 20

a) log₂x-3>1

d) logix-720

b) log, x+2>-2 3

e) log, x-1|>1

b) log (2-x) ≤1

c) log₂ (2x+5) > 2

d) log, (3x-4) <-2

e) log (3x+1) ≤4

f) logi (3-x)2-2

a) log,2x + 2log-x-8=0

2 c) (log,x-3)log₂x + = (log₂x+1)=0 3

e) log, ³x + 2logx+3=0

a) log x log(x+1) =-1

log(9-x³) log(3-X) (c) <= 3

= 2

c) log₂ (x + 1)² + log₂|x+1)=6

b) 2log (x-2) + log;(x-4)²=0 d) log(x-5)² + log(x+6)²=2

c) log,(x² − 2) — — log₂(x − 3)² = 1 2

b) log3(x² + 10x + 25) = 2log,(3-***

d) log (x²-1) 1 2 log.(x-4)=1/

a) 2log (x-5)-log,4 = log,(3x-20)

b) log √5x-4 +log √x+1=2 + log 0,18

(C) log(x-5)+ log √√2x-3 = log 30-1

2

d) log √x + ²log (x + 4) = 5 4

a) log (x+3)-2=log (x-1)-log,8 b) log(x-3)-log(2-x) = log(x²-4)

b) log, (2x² + 4x-6)=2

c) log[3+ 2log(1+x)] = 0

e) log,[3+log (log,x+10)] = 1

g) log,[7+log(x+9)] = 2

d) log.. X+2 = 1

f) log₁ 16 = 2

c) log,(4x²+x-4)=3

e) log, (x+2) = 1

a) log, 42x=2

b) log₁ 4x = 2

d) log (6x-9) = 2

e) log(4x+1)=2

a) log,27 = 3

b) log,81=-2

c) log,64=2

a) log₁ -1 = 2 X

b) loga -2=1

c) log₁ 2 +3 =-2 X

d) log₂ 4

a) log₂ (x²-4)=1

b) log₂ (x²-1)=-1

b) log(x+2) = 2

a) log₂ (x-1)=3

d) log₂

e) log (3-x) = 2

a) log₂x = log₂(3-x)

1 c) log₁ = log₁ 4 3 e) log, (1-x²)= log₁ (x – 5)

(y=-x-2-2

a) y= log₂ (x+2) 2

y= c)

y= log₂ (x+4)+2

a) log(x-2)-124x-x²

1 1 b) log x>-x-2 2

c) 1-log₂x> 4 X

d) logxx-4

a) log₂ (x-1)=4-x

1 + ²2 kx c) log₁ x + x-1=0

b) log3(x+2) = x² – 2x+2

d) log x=1-x²