Question

solve for x and y: 3^(x-y) = 27 ; 3^(x+y) = 243

Answer 1

Answer:

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Answer 2

Answer:

x=4 y=1

3^x-y =3^x÷3^y=27

3^x+y=3^x×3^y=243

let 3^x=a and 3^y=b

nowa÷b=27 a/b=27 a=27b ________(1)

anda×b=243 putting the value of (1)

27b×b=243 b^2=243/27

b^2=9 b=3

and a=27b=81

3^x=a=81 3^4

3^y=b=3 3^1

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