Question

2 ^x+1. 3 ^y=48

Answer 1

2^x+1.3^y=48=2⁴.3¹

=> x + 1 = 4 => x = 3 ; y = 1

Vậy x = 3 ; y = 1 

Answer 2

2^x+1.3^y=48

=> 2^x+1.3^y=16.3

=> 2^x+1.3^y=2⁴.3¹

 +) 2^x+1=2⁴

=> x+1=4

=> x=3

 +) 3^y=3¹

=> y=1

Vậy x=3; y=1.

Answer 3

2^x+1.3^y=48

=>2^x+1.3^y=2⁴.3

=>3^y:3=2⁴:2^x+1

=>3^y-1=2^3-x

*Xét y=1=>y-1=0=>3^y-1=1=2⁰=2^3-x

=>3-x=0=>x=3

*Xét y>1=>y-1>0=>3^y-1 chia hết cho 3=>2^3-x chia hết cho 3

=>Vô lí

Vậy y=1,x=3