Ko'rsatkichli va logarifmik tenglamalar sistemasi — 10-sinf Algebra test savollari

1.{x+y=5, $2^x=4$·$2^y$} sistemani yeching.

• A)x=3,5, y=1,5
• B)x=1,5, y=3,5
• C)x=4, y=1
• D)x=2, y=3

2.{log₂x+log₂y=3, x-y=2} sistemani yeching (x,y>0, x>y).

• A)x=4, y=2
• B)x=2, y=4
• C)x=8, y=6
• D)x=6, y=4

3.{$y=2^x$, x=3} sistemadan y ni toping.

• A)y=8
• B)y=6
• C)y=9
• D)y=3

4.{log₃x=y, x=27} sistemadan y ni toping.

• A)y=3
• B)y=9
• C)y=27
• D)y=1

5.x+y=7, xy=12 va x>y bo'lsa (x,y musbat), log₂x-log₂y ayirmani toping.

• A)log₂$\left(\frac{4}{3}\right)$
• B)log₂$\left(\frac{3}{4}\right)$
• C)log₂12
• D)log₂7

6.{x+y=10, x-y=2} sistemani yeching va natijada x,y ni toping.

• A)x=6, y=4
• B)x=4, y=6
• C)x=5, y=5
• D)x=8, y=2

7.{$2^x=8$, y=x+1} sistemani yeching.

• A)x=3, y=4
• B)x=4, y=5
• C)x=3, y=3
• D)x=8, y=9

8.{log₂x=3, y=2x} sistemani yeching.

• A)x=8, y=16
• B)x=3, y=6
• C)x=8, y=8
• D)x=6, y=12

9.{$3^x=9$, x+y=5} sistemani yeching.

• A)x=2, y=3
• B)x=3, y=2
• C)x=9, y=-4
• D)x=2, y=2

10.{lg x=1, y=x²} sistemani yeching.

• A)x=10, y=100
• B)x=1, y=1
• C)x=10, y=10
• D)x=100, y=10