Question

$(2^x)(2^y)=8 , (9^x)(3^y)=81$So what is the value of x and y?

• A. 1,2
• B. 2,1
• C. 1,1
• D. 2,2

Answer 1

Answer:

A. 1,2

$(2^x)(2^y)=2^{x+y}=8=2^3\implies{x+y}=3....(1)$

$9^x\times3^y=3^{2x+y}=81=3^4\implies{2x+y}=4....(2)$

$(2)-(1)\implies{x}=1,y=2$