log x/logy=2/3 and log xy =5 find x and y
Answers
Answered by
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)
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