Logarifmik tengsizliklar — 10-sinf Algebra test savollari

1.log₂x>3 tengsizlikni yeching.

• A)x>8
• B)x<8
• C)x>3
• D)0<x<8

2.log${}_{\left(\frac{1}{2}\right)}x>2$ tengsizlikni yeching.

• A)$0<x<\frac{1}{4}$
• B)$x>\frac{1}{4}$
• C)$x<\frac{1}{4}$
• D)x>4

3.log₃(x-1)≤2 tengsizlikni yeching (ODZ: x>1).

• A)1<x≤10
• B)x≤10
• C)x≥10
• D)1<x<10

4.log₅(2x+1)>1 tengsizlikni yeching (ODZ: $x>-\frac{1}{2}$).

• A)x>2
• B)x<2
• C)$-\frac{1}{2}<x<2$
• D)x>1

5.log₂(x²-1)≥3 tengsizlikni yeching.

• A)(-∞;-3]$\cup$[3;+∞)
• B)[-3;3]
• C)(-3;3)
• D)(-∞;-3)$\cup$(3;+∞)

6.log₂x<2 tengsizlikni yeching (ODZ: x>0).

• A)0<x<4
• B)x<4
• C)x>4
• D)0<x<2

7.log₃x≥1 tengsizlikni yeching.

• A)x≥3
• B)x≤3
• C)x≥1
• D)0<x≤3

8.lg x<1 tengsizlikni yeching (ODZ: x>0).

• A)0<x<10
• B)x<10
• C)x>10
• D)0<x<1

9.Logarifmik tengsizlikni yechishda asos 0<a<1 bo'lganda tengsizlik belgisi qanday o'zgaradi?

• A)teskarisiga almashadi
• B)o'zgarmaydi
• C)tenglikka aylanadi
• D)yechim yo'qoladi

10.log₂(x+1)>0 tengsizlikni yeching.

• A)x>0
• B)x>-1
• C)-1<x<0
• D)x<0