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Question Number 155638 by cortano last updated on 03/Oct/21

Commented by Rasheed.Sindhi last updated on 03/Oct/21

x=3,y=2

x=3,y=2

Commented by cortano last updated on 03/Oct/21

by ?

by?

Answered by mindispower last updated on 03/Oct/21

(x,y)∈R^2 ⇒x,y>0 if y∈]0,2[⇒log_3 (x)=2−log_2 (y)>1 ⇒x>3 3^x −2^y >3^3 −2^2 =23 y>2⇒log_3 (x)<2−log_2 (2)⇒x<3 3^x −2^y <3^3 −2^2 =23 y∈]0,2[∪]2,+∞[ no solution y=2⇒x=3 (3,2) is the solution

(x,y)∈R2⇒x,y>0ify∈]0,2[⇒log3(x)=2−log2(y)>1⇒x>33x−2y>33−22=23y>2⇒log3(x)<2−log2(2)⇒x<33x−2y<33−22=23y∈]0,2[∪]2,+∞[nosolutiony=2⇒x=3(3,2)isthesolution

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