Question

so sánh: 2³¹ và 3²¹

Answer 1

Ta có:

2³¹=2.2³⁰=2.8¹⁰

3²¹=3.3²⁰=3.9¹⁰

Vì 2.8¹⁰<3.9¹⁰=>2³¹<3²¹

Answer 2

Ta có:

2^31=(2^30).2 =(2^3)^10.2=(8^10).2

3^21=(3^20).3= (3^2)^10.3=(9^10).3

Vì (8^10).2<(9^10.3). Suy ra 2^31<3^21

Answer 3

TA CÓ:

2^31= (2^30).2= [(2^3)^10].2= (8^10).2

3^21= (3^20).3= [(3^2)^10].3= (9^10).3

VẬY 2^31<3^21

Answer 4

Ta có:

3^21=(3^7)^3=2187^3

2^31<2^33=(2^11)^3=2048^3

Vì: 2048<3187 nên 2048^3<2187^3 nên 2^33<3^21 mà 2^33>2^31

Suy ra 3^21> 2^31

Vậy 2^31<3^21

Answer 5

2^31<3^31

Answer 6

2^31<3^21

Answer 7

Ta có:

3^21=3^2.10+1=9^10+1

2^31=2^3.10+1=8^10+1

Vì 9^10+1>8^10+1

=>2^31<3^21

Vậy 2^31<3^21

Answer 8

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