Question

log x/logy=2/3 and log xy =5 find x and y

Answer 1

Answer:

og(x

2

y

3

)=a−−(1)

log

y

x

=b−−(2)

Eq (1) ⇒log(x

2

y

3

)=a

⇒2logx+3logy=a

Eq (2) ⇒log(

y

x

)=b

⇒logx−logy=b

Solving both the equations gives

logx=

5

1

(a+3b),logy=

5

1

(a−2b)