Question

logx/logy =3/2 ,log(xy) =5 find x and y .



















9

Answer 1

log(xy) =5 ⇒ logx + logy = 5

$\frac{logx}{logy} = \frac{3}{2}$

On cross multiplication logx = 1.5(logy)
Substituting this value in the first equation and solving, we get

2.5 logy = 5

logy = 2

y = 10² = 100

Now, logx = 1.5(logy) 
  
               = 1.5(2) 
               = 3

x = 10³ = 1000

Answer 2

log(xy) =5 ⇒ logx + logy = 5

On cross multiplication logx = 1.5(logy)

Substituting this value in the first equation and solving, we get

2.5 logy = 5

logy = 2

y = 10² = 100

Now, logx = 1.5(logy)

 

              = 1.5(2)

              = 3

x = 10³ = 1000

Step-by-step explanation: