logX/LogY = 3/2 and Log(XY) = 5; find the value of X and Y

Question

Just I have learned Logarithim. so I have not solved this question.

Answer 1

log(xy)=5=log(x)+log(y) or log(x)=5-log(y)

log(x) / log(y)=1.5...[5-log(y)]/log(y)=1.5

[5/log(y)] -[log(5)/log(y)] =1.5

[5/log(y)]=1.5+1...=2.5

log(y)=5/2.5....=2

y=base^2....maebee 10^2=100

me leev it tu yu tu get x from log(x)=1.5*log(y)