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

A1,2

B2,1

C1,1

D2,2

Answer:

A. 1,2

Read Explanation:

(2x)(2y)=2x+y=8=23    x+y=3....(1)(2^x)(2^y)=2^{x+y}=8=2^3\implies{x+y}=3....(1)

9x×3y=32x+y=81=34    2x+y=4....(2)9^x\times3^y=3^{2x+y}=81=3^4\implies{2x+y}=4....(2)

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

 


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