Question

solve for x and y

please anyone if u know answer this till now l have not got the perfect answer

Answer 1

hola!

log x/ 3 = log y/ 2

log x/ log y = 3/ 2

2log x = 3log y

log x = 3/2 log y


Now,
log (xy) = 5


log x + log y = 5

3/2 log y + log y = 5

log y (5/2) = 5

log y = 5 × 2/5

log y = 2

log y= log 100

→ y = 100.

We know that, log x = 3/2 log y

log x=3/2 × 2

log x = 3

log x = log 1000

→ x = 1000

Hence, The required answer is:-

x = 1000 n' y = 100

hope it helps! :)

Answer 2

Hi friend!!
Here is your Answer

Here given that

logx/3 = logy/2. and log (xy) =5

so

logx/logy = 3/2 

⇒ log y = (2log x )/3  ........... (i) equation

log(xy) = 5

⇒log x + log y = 5           ......( ii) equation

let log x = a


putting the value of log y , use equation (I)

a + 2a/3 = 5

⇒ 3a + 2a = 15

⇒ a = 3

so log x = 3 ⇒ x = 10³ 

so x = 1000 

log y = 2 log X /3

log y = 2

$y = {10}^{2}$
y = 100 Ans

Hope it's helpful ✌✌